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Finding the Fourth Proportional to 752.36, 1,038.12 and 420.78

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Solution

The fourth proportional to 752.36, 1,038.12 and 420.78 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.36 : 1,038.12 = 420.78 : x
  2. Step 2: Convert to fraction form
    752.36/1,038.12 = 420.78/x
  3. Step 3: Cross multiply
    752.36x = 1,038.12 × 420.78
  4. Step 4: Simplify right side
    752.36x = 436,820.13
  5. Step 5: Solve for x
    x = 436,820.13/752.36
  6. Step 6: Final answer
    x = 580.60

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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.