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Finding the Fourth Proportional to 551.53, 823.35 and 532.29

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Solution

The fourth proportional to 551.53, 823.35 and 532.29 is: 794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.53 : 823.35 = 532.29 : x
  2. Step 2: Convert to fraction form
    551.53/823.35 = 532.29/x
  3. Step 3: Cross multiply
    551.53x = 823.35 × 532.29
  4. Step 4: Simplify right side
    551.53x = 438,260.97
  5. Step 5: Solve for x
    x = 438,260.97/551.53
  6. Step 6: Final answer
    x = 794.63

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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.