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Finding the Fourth Proportional to 752.34, 1,038.20 and 420.69

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Solution

The fourth proportional to 752.34, 1,038.20 and 420.69 is: 580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.34 : 1,038.20 = 420.69 : x
  2. Step 2: Convert to fraction form
    752.34/1,038.20 = 420.69/x
  3. Step 3: Cross multiply
    752.34x = 1,038.20 × 420.69
  4. Step 4: Simplify right side
    752.34x = 436,758.25
  5. Step 5: Solve for x
    x = 436,758.25/752.34
  6. Step 6: Final answer
    x = 580.53

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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.