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Finding the Fourth Proportional to 553.80, 761.19 and 487.92

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Solution

The fourth proportional to 553.80, 761.19 and 487.92 is: 670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.80 : 761.19 = 487.92 : x
  2. Step 2: Convert to fraction form
    553.80/761.19 = 487.92/x
  3. Step 3: Cross multiply
    553.80x = 761.19 × 487.92
  4. Step 4: Simplify right side
    553.80x = 371,399.82
  5. Step 5: Solve for x
    x = 371,399.82/553.80
  6. Step 6: Final answer
    x = 670.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.