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Finding the Fourth Proportional to 672.16, 926.67 and 497.92

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Solution

The fourth proportional to 672.16, 926.67 and 497.92 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.16 : 926.67 = 497.92 : x
  2. Step 2: Convert to fraction form
    672.16/926.67 = 497.92/x
  3. Step 3: Cross multiply
    672.16x = 926.67 × 497.92
  4. Step 4: Simplify right side
    672.16x = 461,407.53
  5. Step 5: Solve for x
    x = 461,407.53/672.16
  6. Step 6: Final answer
    x = 686.45

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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.