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Finding the Fourth Proportional to 658.83, 988.25 and 384.74

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Solution

The fourth proportional to 658.83, 988.25 and 384.74 is: 577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.83 : 988.25 = 384.74 : x
  2. Step 2: Convert to fraction form
    658.83/988.25 = 384.74/x
  3. Step 3: Cross multiply
    658.83x = 988.25 × 384.74
  4. Step 4: Simplify right side
    658.83x = 380,212.44
  5. Step 5: Solve for x
    x = 380,212.44/658.83
  6. Step 6: Final answer
    x = 577.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.