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Finding the Fourth Proportional to 553.96, 762.10 and 538.57

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Solution

The fourth proportional to 553.96, 762.10 and 538.57 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 762.10 = 538.57 : x
  2. Step 2: Convert to fraction form
    553.96/762.10 = 538.57/x
  3. Step 3: Cross multiply
    553.96x = 762.10 × 538.57
  4. Step 4: Simplify right side
    553.96x = 410,444.20
  5. Step 5: Solve for x
    x = 410,444.20/553.96
  6. Step 6: Final answer
    x = 740.93

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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.