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Finding the Fourth Proportional to 551.23, 822.90 and 532.01

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Solution

The fourth proportional to 551.23, 822.90 and 532.01 is: 794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.23 : 822.90 = 532.01 : x
  2. Step 2: Convert to fraction form
    551.23/822.90 = 532.01/x
  3. Step 3: Cross multiply
    551.23x = 822.90 × 532.01
  4. Step 4: Simplify right side
    551.23x = 437,795.08
  5. Step 5: Solve for x
    x = 437,795.08/551.23
  6. Step 6: Final answer
    x = 794.22

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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.