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Finding the Fourth Proportional to 505.28, 752.97 and 488.78

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Solution

The fourth proportional to 505.28, 752.97 and 488.78 is: 728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.28 : 752.97 = 488.78 : x
  2. Step 2: Convert to fraction form
    505.28/752.97 = 488.78/x
  3. Step 3: Cross multiply
    505.28x = 752.97 × 488.78
  4. Step 4: Simplify right side
    505.28x = 368,032.91
  5. Step 5: Solve for x
    x = 368,032.91/505.28
  6. Step 6: Final answer
    x = 728.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.