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Finding the Fourth Proportional to 657.04, 984.40 and 413

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Solution

The fourth proportional to 657.04, 984.40 and 413 is: 618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.04 : 984.40 = 413 : x
  2. Step 2: Convert to fraction form
    657.04/984.40 = 413/x
  3. Step 3: Cross multiply
    657.04x = 984.40 × 413
  4. Step 4: Simplify right side
    657.04x = 406,557.20
  5. Step 5: Solve for x
    x = 406,557.20/657.04
  6. Step 6: Final answer
    x = 618.77

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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.