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Finding the Fourth Proportional to 720.00, 1,077.55 and 460.18

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Solution

The fourth proportional to 720.00, 1,077.55 and 460.18 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.00 : 1,077.55 = 460.18 : x
  2. Step 2: Convert to fraction form
    720.00/1,077.55 = 460.18/x
  3. Step 3: Cross multiply
    720.00x = 1,077.55 × 460.18
  4. Step 4: Simplify right side
    720.00x = 495,869.74
  5. Step 5: Solve for x
    x = 495,869.74/720.00
  6. Step 6: Final answer
    x = 688.71

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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.