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Finding the Fourth Proportional to 434.71, 651.46 and 312.70

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Solution

The fourth proportional to 434.71, 651.46 and 312.70 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.71 : 651.46 = 312.70 : x
  2. Step 2: Convert to fraction form
    434.71/651.46 = 312.70/x
  3. Step 3: Cross multiply
    434.71x = 651.46 × 312.70
  4. Step 4: Simplify right side
    434.71x = 203,711.54
  5. Step 5: Solve for x
    x = 203,711.54/434.71
  6. Step 6: Final answer
    x = 468.61

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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.