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Finding the Fourth Proportional to 551.98, 824.02 and 532.76

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Solution

The fourth proportional to 551.98, 824.02 and 532.76 is: 795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.98 : 824.02 = 532.76 : x
  2. Step 2: Convert to fraction form
    551.98/824.02 = 532.76/x
  3. Step 3: Cross multiply
    551.98x = 824.02 × 532.76
  4. Step 4: Simplify right side
    551.98x = 439,004.90
  5. Step 5: Solve for x
    x = 439,004.90/551.98
  6. Step 6: Final answer
    x = 795.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.