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Finding the Fourth Proportional to 752.36, 1,038.19 and 420.76

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Solution

The fourth proportional to 752.36, 1,038.19 and 420.76 is: 580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.36 : 1,038.19 = 420.76 : x
  2. Step 2: Convert to fraction form
    752.36/1,038.19 = 420.76/x
  3. Step 3: Cross multiply
    752.36x = 1,038.19 × 420.76
  4. Step 4: Simplify right side
    752.36x = 436,828.82
  5. Step 5: Solve for x
    x = 436,828.82/752.36
  6. Step 6: Final answer
    x = 580.61

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Half scale
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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.