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Finding the Fourth Proportional to 1,066.05, 1,470.42 and 751.98

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Solution

The fourth proportional to 1,066.05, 1,470.42 and 751.98 is: 1,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.05 : 1,470.42 = 751.98 : x
  2. Step 2: Convert to fraction form
    1,066.05/1,470.42 = 751.98/x
  3. Step 3: Cross multiply
    1,066.05x = 1,470.42 × 751.98
  4. Step 4: Simplify right side
    1,066.05x = 1,105,726.43
  5. Step 5: Solve for x
    x = 1,105,726.43/1,066.05
  6. Step 6: Final answer
    x = 1,037.22

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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.