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Finding the Fourth Proportional to 902.25, 1,245.51 and 666.68

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Solution

The fourth proportional to 902.25, 1,245.51 and 666.68 is: 920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 1,245.51 = 666.68 : x
  2. Step 2: Convert to fraction form
    902.25/1,245.51 = 666.68/x
  3. Step 3: Cross multiply
    902.25x = 1,245.51 × 666.68
  4. Step 4: Simplify right side
    902.25x = 830,356.61
  5. Step 5: Solve for x
    x = 830,356.61/902.25
  6. Step 6: Final answer
    x = 920.32

Related Problems

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Half scale
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Double scale
Find fourth proportional to 903.25, 1,246.89 and 667.68
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.