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Finding the Fourth Proportional to 531.10, 727.06 and 512.65

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Solution

The fourth proportional to 531.10, 727.06 and 512.65 is: 701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.10 : 727.06 = 512.65 : x
  2. Step 2: Convert to fraction form
    531.10/727.06 = 512.65/x
  3. Step 3: Cross multiply
    531.10x = 727.06 × 512.65
  4. Step 4: Simplify right side
    531.10x = 372,727.31
  5. Step 5: Solve for x
    x = 372,727.31/531.10
  6. Step 6: Final answer
    x = 701.80

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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.