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Finding the Fourth Proportional to 870.53, 1,306.56 and 504.82

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Solution

The fourth proportional to 870.53, 1,306.56 and 504.82 is: 757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.53 : 1,306.56 = 504.82 : x
  2. Step 2: Convert to fraction form
    870.53/1,306.56 = 504.82/x
  3. Step 3: Cross multiply
    870.53x = 1,306.56 × 504.82
  4. Step 4: Simplify right side
    870.53x = 659,568.56
  5. Step 5: Solve for x
    x = 659,568.56/870.53
  6. Step 6: Final answer
    x = 757.66

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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.