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Finding the Fourth Proportional to 1,189.24, 1,641.16 and 665.40

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Solution

The fourth proportional to 1,189.24, 1,641.16 and 665.40 is: 918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.24 : 1,641.16 = 665.40 : x
  2. Step 2: Convert to fraction form
    1,189.24/1,641.16 = 665.40/x
  3. Step 3: Cross multiply
    1,189.24x = 1,641.16 × 665.40
  4. Step 4: Simplify right side
    1,189.24x = 1,092,027.86
  5. Step 5: Solve for x
    x = 1,092,027.86/1,189.24
  6. Step 6: Final answer
    x = 918.26

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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.