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Finding the Fourth Proportional to 740.70, 1,109.19 and 375.66

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Solution

The fourth proportional to 740.70, 1,109.19 and 375.66 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.70 : 1,109.19 = 375.66 : x
  2. Step 2: Convert to fraction form
    740.70/1,109.19 = 375.66/x
  3. Step 3: Cross multiply
    740.70x = 1,109.19 × 375.66
  4. Step 4: Simplify right side
    740.70x = 416,678.32
  5. Step 5: Solve for x
    x = 416,678.32/740.70
  6. Step 6: Final answer
    x = 562.55

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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.