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Finding the Fourth Proportional to 972.45, 1,461.09 and 914.13

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Solution

The fourth proportional to 972.45, 1,461.09 and 914.13 is: 1,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.45 : 1,461.09 = 914.13 : x
  2. Step 2: Convert to fraction form
    972.45/1,461.09 = 914.13/x
  3. Step 3: Cross multiply
    972.45x = 1,461.09 × 914.13
  4. Step 4: Simplify right side
    972.45x = 1,335,626.20
  5. Step 5: Solve for x
    x = 1,335,626.20/972.45
  6. Step 6: Final answer
    x = 1,373.47

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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.