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Finding the Fourth Proportional to 1,020.68, 1,408.02 and 647.04

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Solution

The fourth proportional to 1,020.68, 1,408.02 and 647.04 is: 892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.68 : 1,408.02 = 647.04 : x
  2. Step 2: Convert to fraction form
    1,020.68/1,408.02 = 647.04/x
  3. Step 3: Cross multiply
    1,020.68x = 1,408.02 × 647.04
  4. Step 4: Simplify right side
    1,020.68x = 911,045.26
  5. Step 5: Solve for x
    x = 911,045.26/1,020.68
  6. Step 6: Final answer
    x = 892.59

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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.