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Finding the Fourth Proportional to 744.68, 1,112.98 and 686.32

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Solution

The fourth proportional to 744.68, 1,112.98 and 686.32 is: 1,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.68 : 1,112.98 = 686.32 : x
  2. Step 2: Convert to fraction form
    744.68/1,112.98 = 686.32/x
  3. Step 3: Cross multiply
    744.68x = 1,112.98 × 686.32
  4. Step 4: Simplify right side
    744.68x = 763,860.43
  5. Step 5: Solve for x
    x = 763,860.43/744.68
  6. Step 6: Final answer
    x = 1,025.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.