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Finding the Fourth Proportional to 574.32, 856.59 and 537.60

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Solution

The fourth proportional to 574.32, 856.59 and 537.60 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 856.59 = 537.60 : x
  2. Step 2: Convert to fraction form
    574.32/856.59 = 537.60/x
  3. Step 3: Cross multiply
    574.32x = 856.59 × 537.60
  4. Step 4: Simplify right side
    574.32x = 460,502.78
  5. Step 5: Solve for x
    x = 460,502.78/574.32
  6. Step 6: Final answer
    x = 801.82

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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.