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Finding the Fourth Proportional to 768.27, 1,059.24 and 558.28

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Solution

The fourth proportional to 768.27, 1,059.24 and 558.28 is: 769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.27 : 1,059.24 = 558.28 : x
  2. Step 2: Convert to fraction form
    768.27/1,059.24 = 558.28/x
  3. Step 3: Cross multiply
    768.27x = 1,059.24 × 558.28
  4. Step 4: Simplify right side
    768.27x = 591,352.51
  5. Step 5: Solve for x
    x = 591,352.51/768.27
  6. Step 6: Final answer
    x = 769.72

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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.