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Finding the Fourth Proportional to 1,003.55, 1,384.90 and 672.77

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Solution

The fourth proportional to 1,003.55, 1,384.90 and 672.77 is: 928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.55 : 1,384.90 = 672.77 : x
  2. Step 2: Convert to fraction form
    1,003.55/1,384.90 = 672.77/x
  3. Step 3: Cross multiply
    1,003.55x = 1,384.90 × 672.77
  4. Step 4: Simplify right side
    1,003.55x = 931,719.17
  5. Step 5: Solve for x
    x = 931,719.17/1,003.55
  6. Step 6: Final answer
    x = 928.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.