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Finding the Fourth Proportional to 621.81, 858.29 and 497.43

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Solution

The fourth proportional to 621.81, 858.29 and 497.43 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.81 : 858.29 = 497.43 : x
  2. Step 2: Convert to fraction form
    621.81/858.29 = 497.43/x
  3. Step 3: Cross multiply
    621.81x = 858.29 × 497.43
  4. Step 4: Simplify right side
    621.81x = 426,936.71
  5. Step 5: Solve for x
    x = 426,936.71/621.81
  6. Step 6: Final answer
    x = 686.60

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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.