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Finding the Fourth Proportional to 1,189.69, 1,641.67 and 717.66

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Solution

The fourth proportional to 1,189.69, 1,641.67 and 717.66 is: 990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.69 : 1,641.67 = 717.66 : x
  2. Step 2: Convert to fraction form
    1,189.69/1,641.67 = 717.66/x
  3. Step 3: Cross multiply
    1,189.69x = 1,641.67 × 717.66
  4. Step 4: Simplify right side
    1,189.69x = 1,178,159.10
  5. Step 5: Solve for x
    x = 1,178,159.10/1,189.69
  6. Step 6: Final answer
    x = 990.31

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1.5x scale

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.