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Finding the Fourth Proportional to 658.08, 981.72 and 570.24

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Solution

The fourth proportional to 658.08, 981.72 and 570.24 is: 850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 981.72 = 570.24 : x
  2. Step 2: Convert to fraction form
    658.08/981.72 = 570.24/x
  3. Step 3: Cross multiply
    658.08x = 981.72 × 570.24
  4. Step 4: Simplify right side
    658.08x = 559,816.01
  5. Step 5: Solve for x
    x = 559,816.01/658.08
  6. Step 6: Final answer
    x = 850.68

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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.