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Finding the Fourth Proportional to 842.32, 1,162.29 and 510.76

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Solution

The fourth proportional to 842.32, 1,162.29 and 510.76 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.32 : 1,162.29 = 510.76 : x
  2. Step 2: Convert to fraction form
    842.32/1,162.29 = 510.76/x
  3. Step 3: Cross multiply
    842.32x = 1,162.29 × 510.76
  4. Step 4: Simplify right side
    842.32x = 593,651.24
  5. Step 5: Solve for x
    x = 593,651.24/842.32
  6. Step 6: Final answer
    x = 704.78

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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.