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Finding the Fourth Proportional to 913.47, 1,360.47 and 881.19

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Solution

The fourth proportional to 913.47, 1,360.47 and 881.19 is: 1,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.47 : 1,360.47 = 881.19 : x
  2. Step 2: Convert to fraction form
    913.47/1,360.47 = 881.19/x
  3. Step 3: Cross multiply
    913.47x = 1,360.47 × 881.19
  4. Step 4: Simplify right side
    913.47x = 1,198,832.56
  5. Step 5: Solve for x
    x = 1,198,832.56/913.47
  6. Step 6: Final answer
    x = 1,312.39

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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.