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Finding the Fourth Proportional to 591.61, 880.93 and 585.08

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Solution

The fourth proportional to 591.61, 880.93 and 585.08 is: 871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.61 : 880.93 = 585.08 : x
  2. Step 2: Convert to fraction form
    591.61/880.93 = 585.08/x
  3. Step 3: Cross multiply
    591.61x = 880.93 × 585.08
  4. Step 4: Simplify right side
    591.61x = 515,414.52
  5. Step 5: Solve for x
    x = 515,414.52/591.61
  6. Step 6: Final answer
    x = 871.21

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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.