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Finding the Fourth Proportional to 718.40, 1,076.83 and 457.58

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Solution

The fourth proportional to 718.40, 1,076.83 and 457.58 is: 685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.40 : 1,076.83 = 457.58 : x
  2. Step 2: Convert to fraction form
    718.40/1,076.83 = 457.58/x
  3. Step 3: Cross multiply
    718.40x = 1,076.83 × 457.58
  4. Step 4: Simplify right side
    718.40x = 492,737.42
  5. Step 5: Solve for x
    x = 492,737.42/718.40
  6. Step 6: Final answer
    x = 685.88

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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.