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Finding the Fourth Proportional to 720.46, 1,079.77 and 460.36

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Solution

The fourth proportional to 720.46, 1,079.77 and 460.36 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 1,079.77 = 460.36 : x
  2. Step 2: Convert to fraction form
    720.46/1,079.77 = 460.36/x
  3. Step 3: Cross multiply
    720.46x = 1,079.77 × 460.36
  4. Step 4: Simplify right side
    720.46x = 497,082.92
  5. Step 5: Solve for x
    x = 497,082.92/720.46
  6. Step 6: Final answer
    x = 689.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.