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Finding the Fourth Proportional to 657.30, 985.95 and 414.30

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Solution

The fourth proportional to 657.30, 985.95 and 414.30 is: 621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 985.95 = 414.30 : x
  2. Step 2: Convert to fraction form
    657.30/985.95 = 414.30/x
  3. Step 3: Cross multiply
    657.30x = 985.95 × 414.30
  4. Step 4: Simplify right side
    657.30x = 408,479.09
  5. Step 5: Solve for x
    x = 408,479.09/657.30
  6. Step 6: Final answer
    x = 621.45

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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.