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Finding the Fourth Proportional to 752.81, 1,038.95 and 473.25

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Solution

The fourth proportional to 752.81, 1,038.95 and 473.25 is: 653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.81 : 1,038.95 = 473.25 : x
  2. Step 2: Convert to fraction form
    752.81/1,038.95 = 473.25/x
  3. Step 3: Cross multiply
    752.81x = 1,038.95 × 473.25
  4. Step 4: Simplify right side
    752.81x = 491,680.72
  5. Step 5: Solve for x
    x = 491,680.72/752.81
  6. Step 6: Final answer
    x = 653.13

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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.