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Finding the Fourth Proportional to 738.42, 1,106.82 and 373.11

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Solution

The fourth proportional to 738.42, 1,106.82 and 373.11 is: 559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.42 : 1,106.82 = 373.11 : x
  2. Step 2: Convert to fraction form
    738.42/1,106.82 = 373.11/x
  3. Step 3: Cross multiply
    738.42x = 1,106.82 × 373.11
  4. Step 4: Simplify right side
    738.42x = 412,965.61
  5. Step 5: Solve for x
    x = 412,965.61/738.42
  6. Step 6: Final answer
    x = 559.26

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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.