Home / 1,187.16-1,780.25-354.04

Finding the Fourth Proportional to 1,187.16, 1,780.25 and 354.04

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Solution

The fourth proportional to 1,187.16, 1,780.25 and 354.04 is: 530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.16 : 1,780.25 = 354.04 : x
  2. Step 2: Convert to fraction form
    1,187.16/1,780.25 = 354.04/x
  3. Step 3: Cross multiply
    1,187.16x = 1,780.25 × 354.04
  4. Step 4: Simplify right side
    1,187.16x = 630,273.49
  5. Step 5: Solve for x
    x = 630,273.49/1,187.16
  6. Step 6: Final answer
    x = 530.91

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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.