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Finding the Fourth Proportional to 838.91, 1,156.88 and 772.70

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Solution

The fourth proportional to 838.91, 1,156.88 and 772.70 is: 1,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.91 : 1,156.88 = 772.70 : x
  2. Step 2: Convert to fraction form
    838.91/1,156.88 = 772.70/x
  3. Step 3: Cross multiply
    838.91x = 1,156.88 × 772.70
  4. Step 4: Simplify right side
    838.91x = 893,911.53
  5. Step 5: Solve for x
    x = 893,911.53/838.91
  6. Step 6: Final answer
    x = 1,065.57

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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.