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Finding the Fourth Proportional to 972.56, 1,459.08 and 865.16

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Solution

The fourth proportional to 972.56, 1,459.08 and 865.16 is: 1,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 1,459.08 = 865.16 : x
  2. Step 2: Convert to fraction form
    972.56/1,459.08 = 865.16/x
  3. Step 3: Cross multiply
    972.56x = 1,459.08 × 865.16
  4. Step 4: Simplify right side
    972.56x = 1,262,337.65
  5. Step 5: Solve for x
    x = 1,262,337.65/972.56
  6. Step 6: Final answer
    x = 1,297.95

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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.