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Finding the Fourth Proportional to 740.13, 1,110.39 and 355.38

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Solution

The fourth proportional to 740.13, 1,110.39 and 355.38 is: 533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.13 : 1,110.39 = 355.38 : x
  2. Step 2: Convert to fraction form
    740.13/1,110.39 = 355.38/x
  3. Step 3: Cross multiply
    740.13x = 1,110.39 × 355.38
  4. Step 4: Simplify right side
    740.13x = 394,610.40
  5. Step 5: Solve for x
    x = 394,610.40/740.13
  6. Step 6: Final answer
    x = 533.16

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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.