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Finding the Fourth Proportional to 587.92, 877.40 and 523.12

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Solution

The fourth proportional to 587.92, 877.40 and 523.12 is: 780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.92 : 877.40 = 523.12 : x
  2. Step 2: Convert to fraction form
    587.92/877.40 = 523.12/x
  3. Step 3: Cross multiply
    587.92x = 877.40 × 523.12
  4. Step 4: Simplify right side
    587.92x = 458,985.49
  5. Step 5: Solve for x
    x = 458,985.49/587.92
  6. Step 6: Final answer
    x = 780.69

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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.