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Finding the Fourth Proportional to 587.52, 876.96 and 511.02

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Solution

The fourth proportional to 587.52, 876.96 and 511.02 is: 762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 876.96 = 511.02 : x
  2. Step 2: Convert to fraction form
    587.52/876.96 = 511.02/x
  3. Step 3: Cross multiply
    587.52x = 876.96 × 511.02
  4. Step 4: Simplify right side
    587.52x = 448,144.10
  5. Step 5: Solve for x
    x = 448,144.10/587.52
  6. Step 6: Final answer
    x = 762.77

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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.