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Finding the Fourth Proportional to 953.32, 1,432.38 and 606.82

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Solution

The fourth proportional to 953.32, 1,432.38 and 606.82 is: 911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.32 : 1,432.38 = 606.82 : x
  2. Step 2: Convert to fraction form
    953.32/1,432.38 = 606.82/x
  3. Step 3: Cross multiply
    953.32x = 1,432.38 × 606.82
  4. Step 4: Simplify right side
    953.32x = 869,196.83
  5. Step 5: Solve for x
    x = 869,196.83/953.32
  6. Step 6: Final answer
    x = 911.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.