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Finding the Fourth Proportional to 500.22, 689.19 and 473.76

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Solution

The fourth proportional to 500.22, 689.19 and 473.76 is: 652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 689.19 = 473.76 : x
  2. Step 2: Convert to fraction form
    500.22/689.19 = 473.76/x
  3. Step 3: Cross multiply
    500.22x = 689.19 × 473.76
  4. Step 4: Simplify right side
    500.22x = 326,510.65
  5. Step 5: Solve for x
    x = 326,510.65/500.22
  6. Step 6: Final answer
    x = 652.73

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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.