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Finding the Fourth Proportional to 588.28, 878.44 and 526.72

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Solution

The fourth proportional to 588.28, 878.44 and 526.72 is: 786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 878.44 = 526.72 : x
  2. Step 2: Convert to fraction form
    588.28/878.44 = 526.72/x
  3. Step 3: Cross multiply
    588.28x = 878.44 × 526.72
  4. Step 4: Simplify right side
    588.28x = 462,691.92
  5. Step 5: Solve for x
    x = 462,691.92/588.28
  6. Step 6: Final answer
    x = 786.52

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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.