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Finding the Fourth Proportional to 870.57, 1,306.26 and 524.61

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Solution

The fourth proportional to 870.57, 1,306.26 and 524.61 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.57 : 1,306.26 = 524.61 : x
  2. Step 2: Convert to fraction form
    870.57/1,306.26 = 524.61/x
  3. Step 3: Cross multiply
    870.57x = 1,306.26 × 524.61
  4. Step 4: Simplify right side
    870.57x = 685,277.06
  5. Step 5: Solve for x
    x = 685,277.06/870.57
  6. Step 6: Final answer
    x = 787.16

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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.