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Finding the Fourth Proportional to 870.26, 1,306.26 and 505.76

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Solution

The fourth proportional to 870.26, 1,306.26 and 505.76 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.26 : 1,306.26 = 505.76 : x
  2. Step 2: Convert to fraction form
    870.26/1,306.26 = 505.76/x
  3. Step 3: Cross multiply
    870.26x = 1,306.26 × 505.76
  4. Step 4: Simplify right side
    870.26x = 660,647.53
  5. Step 5: Solve for x
    x = 660,647.53/870.26
  6. Step 6: Final answer
    x = 759.14

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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.