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Finding the Fourth Proportional to 672.02, 925.71 and 497.06

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Solution

The fourth proportional to 672.02, 925.71 and 497.06 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.02 : 925.71 = 497.06 : x
  2. Step 2: Convert to fraction form
    672.02/925.71 = 497.06/x
  3. Step 3: Cross multiply
    672.02x = 925.71 × 497.06
  4. Step 4: Simplify right side
    672.02x = 460,133.41
  5. Step 5: Solve for x
    x = 460,133.41/672.02
  6. Step 6: Final answer
    x = 684.70

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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.