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Finding the Fourth Proportional to 1,316.95, 1,974.20 and 658.42

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Solution

The fourth proportional to 1,316.95, 1,974.20 and 658.42 is: 987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.95 : 1,974.20 = 658.42 : x
  2. Step 2: Convert to fraction form
    1,316.95/1,974.20 = 658.42/x
  3. Step 3: Cross multiply
    1,316.95x = 1,974.20 × 658.42
  4. Step 4: Simplify right side
    1,316.95x = 1,299,849.47
  5. Step 5: Solve for x
    x = 1,299,849.47/1,316.95
  6. Step 6: Final answer
    x = 987.02

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1.5x scale

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.