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Finding the Fourth Proportional to 912.90, 1,370.70 and 707.70

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Solution

The fourth proportional to 912.90, 1,370.70 and 707.70 is: 1,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.90 : 1,370.70 = 707.70 : x
  2. Step 2: Convert to fraction form
    912.90/1,370.70 = 707.70/x
  3. Step 3: Cross multiply
    912.90x = 1,370.70 × 707.70
  4. Step 4: Simplify right side
    912.90x = 970,044.39
  5. Step 5: Solve for x
    x = 970,044.39/912.90
  6. Step 6: Final answer
    x = 1,062.60

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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.