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Finding the Fourth Proportional to 778.35, 1,166.34 and 614.01

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Solution

The fourth proportional to 778.35, 1,166.34 and 614.01 is: 920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.35 : 1,166.34 = 614.01 : x
  2. Step 2: Convert to fraction form
    778.35/1,166.34 = 614.01/x
  3. Step 3: Cross multiply
    778.35x = 1,166.34 × 614.01
  4. Step 4: Simplify right side
    778.35x = 716,144.42
  5. Step 5: Solve for x
    x = 716,144.42/778.35
  6. Step 6: Final answer
    x = 920.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.