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Finding the Fourth Proportional to 752.38, 1,038.01 and 595.03

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Solution

The fourth proportional to 752.38, 1,038.01 and 595.03 is: 820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.38 : 1,038.01 = 595.03 : x
  2. Step 2: Convert to fraction form
    752.38/1,038.01 = 595.03/x
  3. Step 3: Cross multiply
    752.38x = 1,038.01 × 595.03
  4. Step 4: Simplify right side
    752.38x = 617,647.09
  5. Step 5: Solve for x
    x = 617,647.09/752.38
  6. Step 6: Final answer
    x = 820.92

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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.