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Finding the Fourth Proportional to 740.57, 1,110.52 and 393.82

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Solution

The fourth proportional to 740.57, 1,110.52 and 393.82 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.57 : 1,110.52 = 393.82 : x
  2. Step 2: Convert to fraction form
    740.57/1,110.52 = 393.82/x
  3. Step 3: Cross multiply
    740.57x = 1,110.52 × 393.82
  4. Step 4: Simplify right side
    740.57x = 437,339.43
  5. Step 5: Solve for x
    x = 437,339.43/740.57
  6. Step 6: Final answer
    x = 590.55

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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.