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Finding the Fourth Proportional to 509.32, 701.22 and 411.40

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Solution

The fourth proportional to 509.32, 701.22 and 411.40 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 701.22 = 411.40 : x
  2. Step 2: Convert to fraction form
    509.32/701.22 = 411.40/x
  3. Step 3: Cross multiply
    509.32x = 701.22 × 411.40
  4. Step 4: Simplify right side
    509.32x = 288,481.91
  5. Step 5: Solve for x
    x = 288,481.91/509.32
  6. Step 6: Final answer
    x = 566.41

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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.