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Finding the Fourth Proportional to 976.90, 1,347.39 and 627.40

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Solution

The fourth proportional to 976.90, 1,347.39 and 627.40 is: 865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.90 : 1,347.39 = 627.40 : x
  2. Step 2: Convert to fraction form
    976.90/1,347.39 = 627.40/x
  3. Step 3: Cross multiply
    976.90x = 1,347.39 × 627.40
  4. Step 4: Simplify right side
    976.90x = 845,352.49
  5. Step 5: Solve for x
    x = 845,352.49/976.90
  6. Step 6: Final answer
    x = 865.34

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1.5x scale

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.