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Finding the Fourth Proportional to 1,577.50, 2,176.95 and 879.04

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Solution

The fourth proportional to 1,577.50, 2,176.95 and 879.04 is: 1,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.50 : 2,176.95 = 879.04 : x
  2. Step 2: Convert to fraction form
    1,577.50/2,176.95 = 879.04/x
  3. Step 3: Cross multiply
    1,577.50x = 2,176.95 × 879.04
  4. Step 4: Simplify right side
    1,577.50x = 1,913,626.13
  5. Step 5: Solve for x
    x = 1,913,626.13/1,577.50
  6. Step 6: Final answer
    x = 1,213.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.