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Finding the Fourth Proportional to 551.61, 823.47 and 532.40

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Solution

The fourth proportional to 551.61, 823.47 and 532.40 is: 794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.61 : 823.47 = 532.40 : x
  2. Step 2: Convert to fraction form
    551.61/823.47 = 532.40/x
  3. Step 3: Cross multiply
    551.61x = 823.47 × 532.40
  4. Step 4: Simplify right side
    551.61x = 438,411.31
  5. Step 5: Solve for x
    x = 438,411.31/551.61
  6. Step 6: Final answer
    x = 794.78

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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.