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Finding the Fourth Proportional to 537.65, 742.40 and 438.08

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Solution

The fourth proportional to 537.65, 742.40 and 438.08 is: 604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.65 : 742.40 = 438.08 : x
  2. Step 2: Convert to fraction form
    537.65/742.40 = 438.08/x
  3. Step 3: Cross multiply
    537.65x = 742.40 × 438.08
  4. Step 4: Simplify right side
    537.65x = 325,232.60
  5. Step 5: Solve for x
    x = 325,232.60/537.65
  6. Step 6: Final answer
    x = 604.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.