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Finding the Fourth Proportional to 552.03, 761.34 and 402.65

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Solution

The fourth proportional to 552.03, 761.34 and 402.65 is: 555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.03 : 761.34 = 402.65 : x
  2. Step 2: Convert to fraction form
    552.03/761.34 = 402.65/x
  3. Step 3: Cross multiply
    552.03x = 761.34 × 402.65
  4. Step 4: Simplify right side
    552.03x = 306,553.55
  5. Step 5: Solve for x
    x = 306,553.55/552.03
  6. Step 6: Final answer
    x = 555.32

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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.