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Finding the Fourth Proportional to 658.99, 987.81 and 475.93

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Solution

The fourth proportional to 658.99, 987.81 and 475.93 is: 713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.99 : 987.81 = 475.93 : x
  2. Step 2: Convert to fraction form
    658.99/987.81 = 475.93/x
  3. Step 3: Cross multiply
    658.99x = 987.81 × 475.93
  4. Step 4: Simplify right side
    658.99x = 470,128.41
  5. Step 5: Solve for x
    x = 470,128.41/658.99
  6. Step 6: Final answer
    x = 713.41

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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.