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Finding the Fourth Proportional to 657.17, 985.45 and 383.34

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Solution

The fourth proportional to 657.17, 985.45 and 383.34 is: 574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.17 : 985.45 = 383.34 : x
  2. Step 2: Convert to fraction form
    657.17/985.45 = 383.34/x
  3. Step 3: Cross multiply
    657.17x = 985.45 × 383.34
  4. Step 4: Simplify right side
    657.17x = 377,762.40
  5. Step 5: Solve for x
    x = 377,762.40/657.17
  6. Step 6: Final answer
    x = 574.83

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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.