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Finding the Fourth Proportional to 1,066.86, 1,470.67 and 751.09

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Solution

The fourth proportional to 1,066.86, 1,470.67 and 751.09 is: 1,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.86 : 1,470.67 = 751.09 : x
  2. Step 2: Convert to fraction form
    1,066.86/1,470.67 = 751.09/x
  3. Step 3: Cross multiply
    1,066.86x = 1,470.67 × 751.09
  4. Step 4: Simplify right side
    1,066.86x = 1,104,605.53
  5. Step 5: Solve for x
    x = 1,104,605.53/1,066.86
  6. Step 6: Final answer
    x = 1,035.38

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Why These Related Problems?

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