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Finding the Fourth Proportional to 718.46, 1,077.03 and 280.00

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Solution

The fourth proportional to 718.46, 1,077.03 and 280.00 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.46 : 1,077.03 = 280.00 : x
  2. Step 2: Convert to fraction form
    718.46/1,077.03 = 280.00/x
  3. Step 3: Cross multiply
    718.46x = 1,077.03 × 280.00
  4. Step 4: Simplify right side
    718.46x = 301,569.75
  5. Step 5: Solve for x
    x = 301,569.75/718.46
  6. Step 6: Final answer
    x = 419.75

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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.