Home / 1,042.08-1,561.80-392.16

Finding the Fourth Proportional to 1,042.08, 1,561.80 and 392.16

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Solution

The fourth proportional to 1,042.08, 1,561.80 and 392.16 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.08 : 1,561.80 = 392.16 : x
  2. Step 2: Convert to fraction form
    1,042.08/1,561.80 = 392.16/x
  3. Step 3: Cross multiply
    1,042.08x = 1,561.80 × 392.16
  4. Step 4: Simplify right side
    1,042.08x = 612,475.49
  5. Step 5: Solve for x
    x = 612,475.49/1,042.08
  6. Step 6: Final answer
    x = 587.74

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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.