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Finding the Fourth Proportional to 774.23, 1,156.14 and 671.76

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Solution

The fourth proportional to 774.23, 1,156.14 and 671.76 is: 1,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.23 : 1,156.14 = 671.76 : x
  2. Step 2: Convert to fraction form
    774.23/1,156.14 = 671.76/x
  3. Step 3: Cross multiply
    774.23x = 1,156.14 × 671.76
  4. Step 4: Simplify right side
    774.23x = 776,648.61
  5. Step 5: Solve for x
    x = 776,648.61/774.23
  6. Step 6: Final answer
    x = 1,003.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.