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Finding the Fourth Proportional to 557.25, 769.02 and 305.19

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Solution

The fourth proportional to 557.25, 769.02 and 305.19 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 769.02 = 305.19 : x
  2. Step 2: Convert to fraction form
    557.25/769.02 = 305.19/x
  3. Step 3: Cross multiply
    557.25x = 769.02 × 305.19
  4. Step 4: Simplify right side
    557.25x = 234,695.69
  5. Step 5: Solve for x
    x = 234,695.69/557.25
  6. Step 6: Final answer
    x = 421.17

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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.