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Finding the Fourth Proportional to 657.68, 985.08 and 593.84

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Solution

The fourth proportional to 657.68, 985.08 and 593.84 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 985.08 = 593.84 : x
  2. Step 2: Convert to fraction form
    657.68/985.08 = 593.84/x
  3. Step 3: Cross multiply
    657.68x = 985.08 × 593.84
  4. Step 4: Simplify right side
    657.68x = 584,979.91
  5. Step 5: Solve for x
    x = 584,979.91/657.68
  6. Step 6: Final answer
    x = 889.46

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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.