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Finding the Fourth Proportional to 474.29, 709.95 and 307.29

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Solution

The fourth proportional to 474.29, 709.95 and 307.29 is: 459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.29 : 709.95 = 307.29 : x
  2. Step 2: Convert to fraction form
    474.29/709.95 = 307.29/x
  3. Step 3: Cross multiply
    474.29x = 709.95 × 307.29
  4. Step 4: Simplify right side
    474.29x = 218,160.54
  5. Step 5: Solve for x
    x = 218,160.54/474.29
  6. Step 6: Final answer
    x = 459.97

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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.