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Finding the Fourth Proportional to 657.01, 983.59 and 398.77

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Solution

The fourth proportional to 657.01, 983.59 and 398.77 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.01 : 983.59 = 398.77 : x
  2. Step 2: Convert to fraction form
    657.01/983.59 = 398.77/x
  3. Step 3: Cross multiply
    657.01x = 983.59 × 398.77
  4. Step 4: Simplify right side
    657.01x = 392,219.27
  5. Step 5: Solve for x
    x = 392,219.27/657.01
  6. Step 6: Final answer
    x = 596.98

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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.