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Finding the Fourth Proportional to 417.70, 621.61 and 413.38

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Solution

The fourth proportional to 417.70, 621.61 and 413.38 is: 615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 621.61 = 413.38 : x
  2. Step 2: Convert to fraction form
    417.70/621.61 = 413.38/x
  3. Step 3: Cross multiply
    417.70x = 621.61 × 413.38
  4. Step 4: Simplify right side
    417.70x = 256,959.07
  5. Step 5: Solve for x
    x = 256,959.07/417.70
  6. Step 6: Final answer
    x = 615.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.