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Finding the Fourth Proportional to 658.16, 982.50 and 560.01

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Solution

The fourth proportional to 658.16, 982.50 and 560.01 is: 835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 982.50 = 560.01 : x
  2. Step 2: Convert to fraction form
    658.16/982.50 = 560.01/x
  3. Step 3: Cross multiply
    658.16x = 982.50 × 560.01
  4. Step 4: Simplify right side
    658.16x = 550,205.88
  5. Step 5: Solve for x
    x = 550,205.88/658.16
  6. Step 6: Final answer
    x = 835.97

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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.