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Finding the Fourth Proportional to 1,152.38, 1,720.21 and 1,066.73

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Solution

The fourth proportional to 1,152.38, 1,720.21 and 1,066.73 is: 1,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.38 : 1,720.21 = 1,066.73 : x
  2. Step 2: Convert to fraction form
    1,152.38/1,720.21 = 1,066.73/x
  3. Step 3: Cross multiply
    1,152.38x = 1,720.21 × 1,066.73
  4. Step 4: Simplify right side
    1,152.38x = 1,834,999.61
  5. Step 5: Solve for x
    x = 1,834,999.61/1,152.38
  6. Step 6: Final answer
    x = 1,592.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.