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Finding the Fourth Proportional to 972.76, 1,459.14 and 780.76

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Solution

The fourth proportional to 972.76, 1,459.14 and 780.76 is: 1,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.76 : 1,459.14 = 780.76 : x
  2. Step 2: Convert to fraction form
    972.76/1,459.14 = 780.76/x
  3. Step 3: Cross multiply
    972.76x = 1,459.14 × 780.76
  4. Step 4: Simplify right side
    972.76x = 1,139,238.15
  5. Step 5: Solve for x
    x = 1,139,238.15/972.76
  6. Step 6: Final answer
    x = 1,171.14

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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.