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Finding the Fourth Proportional to 588.78, 879.17 and 526.68

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Solution

The fourth proportional to 588.78, 879.17 and 526.68 is: 786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 879.17 = 526.68 : x
  2. Step 2: Convert to fraction form
    588.78/879.17 = 526.68/x
  3. Step 3: Cross multiply
    588.78x = 879.17 × 526.68
  4. Step 4: Simplify right side
    588.78x = 463,038.62
  5. Step 5: Solve for x
    x = 463,038.62/588.78
  6. Step 6: Final answer
    x = 786.44

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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.