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Finding the Fourth Proportional to 972.91, 1,461.41 and 740.99

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Solution

The fourth proportional to 972.91, 1,461.41 and 740.99 is: 1,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,461.41 = 740.99 : x
  2. Step 2: Convert to fraction form
    972.91/1,461.41 = 740.99/x
  3. Step 3: Cross multiply
    972.91x = 1,461.41 × 740.99
  4. Step 4: Simplify right side
    972.91x = 1,082,886.49
  5. Step 5: Solve for x
    x = 1,082,886.49/972.91
  6. Step 6: Final answer
    x = 1,113.04

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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.