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Finding the Fourth Proportional to 653.91, 902.25 and 392.01

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Solution

The fourth proportional to 653.91, 902.25 and 392.01 is: 540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 902.25 = 392.01 : x
  2. Step 2: Convert to fraction form
    653.91/902.25 = 392.01/x
  3. Step 3: Cross multiply
    653.91x = 902.25 × 392.01
  4. Step 4: Simplify right side
    653.91x = 353,691.02
  5. Step 5: Solve for x
    x = 353,691.02/653.91
  6. Step 6: Final answer
    x = 540.89

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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.