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Finding the Fourth Proportional to 985.23, 1,360.17 and 749.34

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Solution

The fourth proportional to 985.23, 1,360.17 and 749.34 is: 1,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.23 : 1,360.17 = 749.34 : x
  2. Step 2: Convert to fraction form
    985.23/1,360.17 = 749.34/x
  3. Step 3: Cross multiply
    985.23x = 1,360.17 × 749.34
  4. Step 4: Simplify right side
    985.23x = 1,019,229.79
  5. Step 5: Solve for x
    x = 1,019,229.79/985.23
  6. Step 6: Final answer
    x = 1,034.51

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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.