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Finding the Fourth Proportional to 655.30, 904.77 and 434.71

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Solution

The fourth proportional to 655.30, 904.77 and 434.71 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.30 : 904.77 = 434.71 : x
  2. Step 2: Convert to fraction form
    655.30/904.77 = 434.71/x
  3. Step 3: Cross multiply
    655.30x = 904.77 × 434.71
  4. Step 4: Simplify right side
    655.30x = 393,308.04
  5. Step 5: Solve for x
    x = 393,308.04/655.30
  6. Step 6: Final answer
    x = 600.20

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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.