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Finding the Fourth Proportional to 718.30, 1,077.60 and 285.46

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Solution

The fourth proportional to 718.30, 1,077.60 and 285.46 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.30 : 1,077.60 = 285.46 : x
  2. Step 2: Convert to fraction form
    718.30/1,077.60 = 285.46/x
  3. Step 3: Cross multiply
    718.30x = 1,077.60 × 285.46
  4. Step 4: Simplify right side
    718.30x = 307,611.70
  5. Step 5: Solve for x
    x = 307,611.70/718.30
  6. Step 6: Final answer
    x = 428.25

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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.