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Finding the Fourth Proportional to 632.17, 947.47 and 493.77

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Solution

The fourth proportional to 632.17, 947.47 and 493.77 is: 740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.17 : 947.47 = 493.77 : x
  2. Step 2: Convert to fraction form
    632.17/947.47 = 493.77/x
  3. Step 3: Cross multiply
    632.17x = 947.47 × 493.77
  4. Step 4: Simplify right side
    632.17x = 467,832.26
  5. Step 5: Solve for x
    x = 467,832.26/632.17
  6. Step 6: Final answer
    x = 740.04

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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.