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Finding the Fourth Proportional to 657.42, 981.39 and 571.35

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Solution

The fourth proportional to 657.42, 981.39 and 571.35 is: 852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 981.39 = 571.35 : x
  2. Step 2: Convert to fraction form
    657.42/981.39 = 571.35/x
  3. Step 3: Cross multiply
    657.42x = 981.39 × 571.35
  4. Step 4: Simplify right side
    657.42x = 560,717.18
  5. Step 5: Solve for x
    x = 560,717.18/657.42
  6. Step 6: Final answer
    x = 852.91

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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.