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Finding the Fourth Proportional to 580.47, 870.96 and 215.18

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Solution

The fourth proportional to 580.47, 870.96 and 215.18 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.47 : 870.96 = 215.18 : x
  2. Step 2: Convert to fraction form
    580.47/870.96 = 215.18/x
  3. Step 3: Cross multiply
    580.47x = 870.96 × 215.18
  4. Step 4: Simplify right side
    580.47x = 187,413.17
  5. Step 5: Solve for x
    x = 187,413.17/580.47
  6. Step 6: Final answer
    x = 322.86

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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.