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Finding the Fourth Proportional to 476.30, 709.52 and 434.18

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Solution

The fourth proportional to 476.30, 709.52 and 434.18 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.30 : 709.52 = 434.18 : x
  2. Step 2: Convert to fraction form
    476.30/709.52 = 434.18/x
  3. Step 3: Cross multiply
    476.30x = 709.52 × 434.18
  4. Step 4: Simplify right side
    476.30x = 308,059.39
  5. Step 5: Solve for x
    x = 308,059.39/476.30
  6. Step 6: Final answer
    x = 646.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.