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Finding the Fourth Proportional to 672.64, 1,003.44 and 599.76

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Solution

The fourth proportional to 672.64, 1,003.44 and 599.76 is: 894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.64 : 1,003.44 = 599.76 : x
  2. Step 2: Convert to fraction form
    672.64/1,003.44 = 599.76/x
  3. Step 3: Cross multiply
    672.64x = 1,003.44 × 599.76
  4. Step 4: Simplify right side
    672.64x = 601,823.17
  5. Step 5: Solve for x
    x = 601,823.17/672.64
  6. Step 6: Final answer
    x = 894.72

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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.