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Finding the Fourth Proportional to 1,143.22, 1,577.50 and 639.06

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Solution

The fourth proportional to 1,143.22, 1,577.50 and 639.06 is: 881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.22 : 1,577.50 = 639.06 : x
  2. Step 2: Convert to fraction form
    1,143.22/1,577.50 = 639.06/x
  3. Step 3: Cross multiply
    1,143.22x = 1,577.50 × 639.06
  4. Step 4: Simplify right side
    1,143.22x = 1,008,117.15
  5. Step 5: Solve for x
    x = 1,008,117.15/1,143.22
  6. Step 6: Final answer
    x = 881.82

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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.