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Finding the Fourth Proportional to 532.66, 800.20 and 459.76

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Solution

The fourth proportional to 532.66, 800.20 and 459.76 is: 690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.66 : 800.20 = 459.76 : x
  2. Step 2: Convert to fraction form
    532.66/800.20 = 459.76/x
  3. Step 3: Cross multiply
    532.66x = 800.20 × 459.76
  4. Step 4: Simplify right side
    532.66x = 367,899.95
  5. Step 5: Solve for x
    x = 367,899.95/532.66
  6. Step 6: Final answer
    x = 690.68

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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.