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Finding the Fourth Proportional to 774.74, 1,061.42 and 745.58

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Solution

The fourth proportional to 774.74, 1,061.42 and 745.58 is: 1,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,061.42 = 745.58 : x
  2. Step 2: Convert to fraction form
    774.74/1,061.42 = 745.58/x
  3. Step 3: Cross multiply
    774.74x = 1,061.42 × 745.58
  4. Step 4: Simplify right side
    774.74x = 791,373.52
  5. Step 5: Solve for x
    x = 791,373.52/774.74
  6. Step 6: Final answer
    x = 1,021.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.