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Finding the Fourth Proportional to 632.71, 947.17 and 509.95

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Solution

The fourth proportional to 632.71, 947.17 and 509.95 is: 763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.71 : 947.17 = 509.95 : x
  2. Step 2: Convert to fraction form
    632.71/947.17 = 509.95/x
  3. Step 3: Cross multiply
    632.71x = 947.17 × 509.95
  4. Step 4: Simplify right side
    632.71x = 483,009.34
  5. Step 5: Solve for x
    x = 483,009.34/632.71
  6. Step 6: Final answer
    x = 763.40

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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.