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Finding the Fourth Proportional to 752.72, 1,038.75 and 421.16

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Solution

The fourth proportional to 752.72, 1,038.75 and 421.16 is: 581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,038.75 = 421.16 : x
  2. Step 2: Convert to fraction form
    752.72/1,038.75 = 421.16/x
  3. Step 3: Cross multiply
    752.72x = 1,038.75 × 421.16
  4. Step 4: Simplify right side
    752.72x = 437,481.49
  5. Step 5: Solve for x
    x = 437,481.49/752.72
  6. Step 6: Final answer
    x = 581.20

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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.