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Finding the Fourth Proportional to 1,189.83, 1,642.05 and 665.85

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Solution

The fourth proportional to 1,189.83, 1,642.05 and 665.85 is: 918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.83 : 1,642.05 = 665.85 : x
  2. Step 2: Convert to fraction form
    1,189.83/1,642.05 = 665.85/x
  3. Step 3: Cross multiply
    1,189.83x = 1,642.05 × 665.85
  4. Step 4: Simplify right side
    1,189.83x = 1,093,358.99
  5. Step 5: Solve for x
    x = 1,093,358.99/1,189.83
  6. Step 6: Final answer
    x = 918.92

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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.