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Finding the Fourth Proportional to 587.76, 877.53 and 527.61

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Solution

The fourth proportional to 587.76, 877.53 and 527.61 is: 787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 877.53 = 527.61 : x
  2. Step 2: Convert to fraction form
    587.76/877.53 = 527.61/x
  3. Step 3: Cross multiply
    587.76x = 877.53 × 527.61
  4. Step 4: Simplify right side
    587.76x = 462,998.87
  5. Step 5: Solve for x
    x = 462,998.87/587.76
  6. Step 6: Final answer
    x = 787.74

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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.