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Finding the Fourth Proportional to 687.67, 1,031.77 and 413.96

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Solution

The fourth proportional to 687.67, 1,031.77 and 413.96 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.67 : 1,031.77 = 413.96 : x
  2. Step 2: Convert to fraction form
    687.67/1,031.77 = 413.96/x
  3. Step 3: Cross multiply
    687.67x = 1,031.77 × 413.96
  4. Step 4: Simplify right side
    687.67x = 427,111.51
  5. Step 5: Solve for x
    x = 427,111.51/687.67
  6. Step 6: Final answer
    x = 621.10

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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.