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Finding the Fourth Proportional to 658.40, 987.78 and 370.04

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Solution

The fourth proportional to 658.40, 987.78 and 370.04 is: 555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.40 : 987.78 = 370.04 : x
  2. Step 2: Convert to fraction form
    658.40/987.78 = 370.04/x
  3. Step 3: Cross multiply
    658.40x = 987.78 × 370.04
  4. Step 4: Simplify right side
    658.40x = 365,518.11
  5. Step 5: Solve for x
    x = 365,518.11/658.40
  6. Step 6: Final answer
    x = 555.16

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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.