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Finding the Fourth Proportional to 687.10, 1,031.04 and 413.86

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Solution

The fourth proportional to 687.10, 1,031.04 and 413.86 is: 621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.10 : 1,031.04 = 413.86 : x
  2. Step 2: Convert to fraction form
    687.10/1,031.04 = 413.86/x
  3. Step 3: Cross multiply
    687.10x = 1,031.04 × 413.86
  4. Step 4: Simplify right side
    687.10x = 426,706.21
  5. Step 5: Solve for x
    x = 426,706.21/687.10
  6. Step 6: Final answer
    x = 621.02

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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.