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Finding the Fourth Proportional to 657.23, 981.62 and 595.40

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Solution

The fourth proportional to 657.23, 981.62 and 595.40 is: 889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 981.62 = 595.40 : x
  2. Step 2: Convert to fraction form
    657.23/981.62 = 595.40/x
  3. Step 3: Cross multiply
    657.23x = 981.62 × 595.40
  4. Step 4: Simplify right side
    657.23x = 584,456.55
  5. Step 5: Solve for x
    x = 584,456.55/657.23
  6. Step 6: Final answer
    x = 889.27

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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.