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Finding the Fourth Proportional to 876.50, 1,312.87 and 413.59

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Solution

The fourth proportional to 876.50, 1,312.87 and 413.59 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.50 : 1,312.87 = 413.59 : x
  2. Step 2: Convert to fraction form
    876.50/1,312.87 = 413.59/x
  3. Step 3: Cross multiply
    876.50x = 1,312.87 × 413.59
  4. Step 4: Simplify right side
    876.50x = 542,989.60
  5. Step 5: Solve for x
    x = 542,989.60/876.50
  6. Step 6: Final answer
    x = 619.49

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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.