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Finding the Fourth Proportional to 532.66, 799.60 and 316.70

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Solution

The fourth proportional to 532.66, 799.60 and 316.70 is: 475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.66 : 799.60 = 316.70 : x
  2. Step 2: Convert to fraction form
    532.66/799.60 = 316.70/x
  3. Step 3: Cross multiply
    532.66x = 799.60 × 316.70
  4. Step 4: Simplify right side
    532.66x = 253,228.53
  5. Step 5: Solve for x
    x = 253,228.53/532.66
  6. Step 6: Final answer
    x = 475.41

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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.