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Finding the Fourth Proportional to 752.77, 1,038.78 and 421.19

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Solution

The fourth proportional to 752.77, 1,038.78 and 421.19 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.77 : 1,038.78 = 421.19 : x
  2. Step 2: Convert to fraction form
    752.77/1,038.78 = 421.19/x
  3. Step 3: Cross multiply
    752.77x = 1,038.78 × 421.19
  4. Step 4: Simplify right side
    752.77x = 437,523.75
  5. Step 5: Solve for x
    x = 437,523.75/752.77
  6. Step 6: Final answer
    x = 581.22

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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.