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Finding the Fourth Proportional to 580.70, 870.91 and 215.53

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Solution

The fourth proportional to 580.70, 870.91 and 215.53 is: 323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 870.91 = 215.53 : x
  2. Step 2: Convert to fraction form
    580.70/870.91 = 215.53/x
  3. Step 3: Cross multiply
    580.70x = 870.91 × 215.53
  4. Step 4: Simplify right side
    580.70x = 187,707.23
  5. Step 5: Solve for x
    x = 187,707.23/580.70
  6. Step 6: Final answer
    x = 323.24

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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.