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Finding the Fourth Proportional to 902.33, 1,245.42 and 571.20

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Solution

The fourth proportional to 902.33, 1,245.42 and 571.20 is: 788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.33 : 1,245.42 = 571.20 : x
  2. Step 2: Convert to fraction form
    902.33/1,245.42 = 571.20/x
  3. Step 3: Cross multiply
    902.33x = 1,245.42 × 571.20
  4. Step 4: Simplify right side
    902.33x = 711,381.76
  5. Step 5: Solve for x
    x = 711,381.76/902.33
  6. Step 6: Final answer
    x = 788.38

Related Problems

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Half scale
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Double scale
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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.