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Finding the Fourth Proportional to 838.71, 1,154.70 and 651.96

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Solution

The fourth proportional to 838.71, 1,154.70 and 651.96 is: 897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.71 : 1,154.70 = 651.96 : x
  2. Step 2: Convert to fraction form
    838.71/1,154.70 = 651.96/x
  3. Step 3: Cross multiply
    838.71x = 1,154.70 × 651.96
  4. Step 4: Simplify right side
    838.71x = 752,818.21
  5. Step 5: Solve for x
    x = 752,818.21/838.71
  6. Step 6: Final answer
    x = 897.59

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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.