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Finding the Fourth Proportional to 1,020.42, 1,408.10 and 689.30

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Solution

The fourth proportional to 1,020.42, 1,408.10 and 689.30 is: 951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.42 : 1,408.10 = 689.30 : x
  2. Step 2: Convert to fraction form
    1,020.42/1,408.10 = 689.30/x
  3. Step 3: Cross multiply
    1,020.42x = 1,408.10 × 689.30
  4. Step 4: Simplify right side
    1,020.42x = 970,597.11
  5. Step 5: Solve for x
    x = 970,597.11/1,020.42
  6. Step 6: Final answer
    x = 951.17

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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.