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Finding the Fourth Proportional to 872.19, 1,306.53 and 525.32

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Solution

The fourth proportional to 872.19, 1,306.53 and 525.32 is: 786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.19 : 1,306.53 = 525.32 : x
  2. Step 2: Convert to fraction form
    872.19/1,306.53 = 525.32/x
  3. Step 3: Cross multiply
    872.19x = 1,306.53 × 525.32
  4. Step 4: Simplify right side
    872.19x = 686,344.71
  5. Step 5: Solve for x
    x = 686,344.71/872.19
  6. Step 6: Final answer
    x = 786.92

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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.