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Finding the Fourth Proportional to 673.16, 1,003.14 and 654.39

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Solution

The fourth proportional to 673.16, 1,003.14 and 654.39 is: 975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.16 : 1,003.14 = 654.39 : x
  2. Step 2: Convert to fraction form
    673.16/1,003.14 = 654.39/x
  3. Step 3: Cross multiply
    673.16x = 1,003.14 × 654.39
  4. Step 4: Simplify right side
    673.16x = 656,444.78
  5. Step 5: Solve for x
    x = 656,444.78/673.16
  6. Step 6: Final answer
    x = 975.18

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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.