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Finding the Fourth Proportional to 752.85, 1,038.93 and 416.78

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Solution

The fourth proportional to 752.85, 1,038.93 and 416.78 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.85 : 1,038.93 = 416.78 : x
  2. Step 2: Convert to fraction form
    752.85/1,038.93 = 416.78/x
  3. Step 3: Cross multiply
    752.85x = 1,038.93 × 416.78
  4. Step 4: Simplify right side
    752.85x = 433,005.25
  5. Step 5: Solve for x
    x = 433,005.25/752.85
  6. Step 6: Final answer
    x = 575.15

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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.