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Finding the Fourth Proportional to 740.11, 1,108.75 and 414.49

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Solution

The fourth proportional to 740.11, 1,108.75 and 414.49 is: 620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.11 : 1,108.75 = 414.49 : x
  2. Step 2: Convert to fraction form
    740.11/1,108.75 = 414.49/x
  3. Step 3: Cross multiply
    740.11x = 1,108.75 × 414.49
  4. Step 4: Simplify right side
    740.11x = 459,565.79
  5. Step 5: Solve for x
    x = 459,565.79/740.11
  6. Step 6: Final answer
    x = 620.94

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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.