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Finding the Fourth Proportional to 902.65, 1,245.54 and 504.34

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Solution

The fourth proportional to 902.65, 1,245.54 and 504.34 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.65 : 1,245.54 = 504.34 : x
  2. Step 2: Convert to fraction form
    902.65/1,245.54 = 504.34/x
  3. Step 3: Cross multiply
    902.65x = 1,245.54 × 504.34
  4. Step 4: Simplify right side
    902.65x = 628,176.17
  5. Step 5: Solve for x
    x = 628,176.17/902.65
  6. Step 6: Final answer
    x = 695.93

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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.