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Finding the Fourth Proportional to 752.53, 1,038.44 and 472.75

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Solution

The fourth proportional to 752.53, 1,038.44 and 472.75 is: 652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.53 : 1,038.44 = 472.75 : x
  2. Step 2: Convert to fraction form
    752.53/1,038.44 = 472.75/x
  3. Step 3: Cross multiply
    752.53x = 1,038.44 × 472.75
  4. Step 4: Simplify right side
    752.53x = 490,921.33
  5. Step 5: Solve for x
    x = 490,921.33/752.53
  6. Step 6: Final answer
    x = 652.36

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Double scale
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1.5x scale

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.