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Finding the Fourth Proportional to 1,111.79, 1,660.64 and 865.76

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Solution

The fourth proportional to 1,111.79, 1,660.64 and 865.76 is: 1,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.79 : 1,660.64 = 865.76 : x
  2. Step 2: Convert to fraction form
    1,111.79/1,660.64 = 865.76/x
  3. Step 3: Cross multiply
    1,111.79x = 1,660.64 × 865.76
  4. Step 4: Simplify right side
    1,111.79x = 1,437,703.05
  5. Step 5: Solve for x
    x = 1,437,703.05/1,111.79
  6. Step 6: Final answer
    x = 1,293.14

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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.