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Finding the Fourth Proportional to 680.42, 1,015.41 and 607.52

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Solution

The fourth proportional to 680.42, 1,015.41 and 607.52 is: 906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.42 : 1,015.41 = 607.52 : x
  2. Step 2: Convert to fraction form
    680.42/1,015.41 = 607.52/x
  3. Step 3: Cross multiply
    680.42x = 1,015.41 × 607.52
  4. Step 4: Simplify right side
    680.42x = 616,881.88
  5. Step 5: Solve for x
    x = 616,881.88/680.42
  6. Step 6: Final answer
    x = 906.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.