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Finding the Fourth Proportional to 403.23, 602.54 and 287.04

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Solution

The fourth proportional to 403.23, 602.54 and 287.04 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.23 : 602.54 = 287.04 : x
  2. Step 2: Convert to fraction form
    403.23/602.54 = 287.04/x
  3. Step 3: Cross multiply
    403.23x = 602.54 × 287.04
  4. Step 4: Simplify right side
    403.23x = 172,951.65
  5. Step 5: Solve for x
    x = 172,951.65/403.23
  6. Step 6: Final answer
    x = 428.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.