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Finding the Fourth Proportional to 714.40, 1,069.68 and 673.46

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Solution

The fourth proportional to 714.40, 1,069.68 and 673.46 is: 1,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.40 : 1,069.68 = 673.46 : x
  2. Step 2: Convert to fraction form
    714.40/1,069.68 = 673.46/x
  3. Step 3: Cross multiply
    714.40x = 1,069.68 × 673.46
  4. Step 4: Simplify right side
    714.40x = 720,386.69
  5. Step 5: Solve for x
    x = 720,386.69/714.40
  6. Step 6: Final answer
    x = 1,008.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.