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Finding the Fourth Proportional to 1,254.18, 1,727.82 and 880.50

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Solution

The fourth proportional to 1,254.18, 1,727.82 and 880.50 is: 1,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.18 : 1,727.82 = 880.50 : x
  2. Step 2: Convert to fraction form
    1,254.18/1,727.82 = 880.50/x
  3. Step 3: Cross multiply
    1,254.18x = 1,727.82 × 880.50
  4. Step 4: Simplify right side
    1,254.18x = 1,521,345.51
  5. Step 5: Solve for x
    x = 1,521,345.51/1,254.18
  6. Step 6: Final answer
    x = 1,213.02

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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.