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Finding the Fourth Proportional to 1,115.92, 1,674.08 and 346.40

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Solution

The fourth proportional to 1,115.92, 1,674.08 and 346.40 is: 519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.92 : 1,674.08 = 346.40 : x
  2. Step 2: Convert to fraction form
    1,115.92/1,674.08 = 346.40/x
  3. Step 3: Cross multiply
    1,115.92x = 1,674.08 × 346.40
  4. Step 4: Simplify right side
    1,115.92x = 579,901.31
  5. Step 5: Solve for x
    x = 579,901.31/1,115.92
  6. Step 6: Final answer
    x = 519.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.