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Finding the Fourth Proportional to 591.72, 811.77 and 558.60

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Solution

The fourth proportional to 591.72, 811.77 and 558.60 is: 766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.72 : 811.77 = 558.60 : x
  2. Step 2: Convert to fraction form
    591.72/811.77 = 558.60/x
  3. Step 3: Cross multiply
    591.72x = 811.77 × 558.60
  4. Step 4: Simplify right side
    591.72x = 453,454.72
  5. Step 5: Solve for x
    x = 453,454.72/591.72
  6. Step 6: Final answer
    x = 766.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.