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Finding the Fourth Proportional to 551.22, 823.59 and 532.08

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Solution

The fourth proportional to 551.22, 823.59 and 532.08 is: 794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.22 : 823.59 = 532.08 : x
  2. Step 2: Convert to fraction form
    551.22/823.59 = 532.08/x
  3. Step 3: Cross multiply
    551.22x = 823.59 × 532.08
  4. Step 4: Simplify right side
    551.22x = 438,215.77
  5. Step 5: Solve for x
    x = 438,215.77/551.22
  6. Step 6: Final answer
    x = 794.99

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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.