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Finding the Fourth Proportional to 902.72, 1,354.12 and 286.47

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Solution

The fourth proportional to 902.72, 1,354.12 and 286.47 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.72 : 1,354.12 = 286.47 : x
  2. Step 2: Convert to fraction form
    902.72/1,354.12 = 286.47/x
  3. Step 3: Cross multiply
    902.72x = 1,354.12 × 286.47
  4. Step 4: Simplify right side
    902.72x = 387,914.04
  5. Step 5: Solve for x
    x = 387,914.04/902.72
  6. Step 6: Final answer
    x = 429.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.