Home / 1,042.08-1,561.50-392.46

Finding the Fourth Proportional to 1,042.08, 1,561.50 and 392.46

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Solution

The fourth proportional to 1,042.08, 1,561.50 and 392.46 is: 588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.08 : 1,561.50 = 392.46 : x
  2. Step 2: Convert to fraction form
    1,042.08/1,561.50 = 392.46/x
  3. Step 3: Cross multiply
    1,042.08x = 1,561.50 × 392.46
  4. Step 4: Simplify right side
    1,042.08x = 612,826.29
  5. Step 5: Solve for x
    x = 612,826.29/1,042.08
  6. Step 6: Final answer
    x = 588.08

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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.