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Finding the Fourth Proportional to 551.07, 759.78 and 432.81

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Solution

The fourth proportional to 551.07, 759.78 and 432.81 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.07 : 759.78 = 432.81 : x
  2. Step 2: Convert to fraction form
    551.07/759.78 = 432.81/x
  3. Step 3: Cross multiply
    551.07x = 759.78 × 432.81
  4. Step 4: Simplify right side
    551.07x = 328,840.38
  5. Step 5: Solve for x
    x = 328,840.38/551.07
  6. Step 6: Final answer
    x = 596.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.