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Finding the Fourth Proportional to 1,189.61, 1,642.11 and 1,065.05

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Solution

The fourth proportional to 1,189.61, 1,642.11 and 1,065.05 is: 1,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.61 : 1,642.11 = 1,065.05 : x
  2. Step 2: Convert to fraction form
    1,189.61/1,642.11 = 1,065.05/x
  3. Step 3: Cross multiply
    1,189.61x = 1,642.11 × 1,065.05
  4. Step 4: Simplify right side
    1,189.61x = 1,748,929.26
  5. Step 5: Solve for x
    x = 1,748,929.26/1,189.61
  6. Step 6: Final answer
    x = 1,470.17

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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.