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Finding the Fourth Proportional to 1,182.08, 1,779.99 and 876.10

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Solution

The fourth proportional to 1,182.08, 1,779.99 and 876.10 is: 1,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.08 : 1,779.99 = 876.10 : x
  2. Step 2: Convert to fraction form
    1,182.08/1,779.99 = 876.10/x
  3. Step 3: Cross multiply
    1,182.08x = 1,779.99 × 876.10
  4. Step 4: Simplify right side
    1,182.08x = 1,559,449.24
  5. Step 5: Solve for x
    x = 1,559,449.24/1,182.08
  6. Step 6: Final answer
    x = 1,319.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.