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Finding the Fourth Proportional to 534.70, 797.54 and 487.54

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Solution

The fourth proportional to 534.70, 797.54 and 487.54 is: 727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.70 : 797.54 = 487.54 : x
  2. Step 2: Convert to fraction form
    534.70/797.54 = 487.54/x
  3. Step 3: Cross multiply
    534.70x = 797.54 × 487.54
  4. Step 4: Simplify right side
    534.70x = 388,832.65
  5. Step 5: Solve for x
    x = 388,832.65/534.70
  6. Step 6: Final answer
    x = 727.20

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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.