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Finding the Fourth Proportional to 774.33, 1,068.24 and 577.50

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Solution

The fourth proportional to 774.33, 1,068.24 and 577.50 is: 796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.33 : 1,068.24 = 577.50 : x
  2. Step 2: Convert to fraction form
    774.33/1,068.24 = 577.50/x
  3. Step 3: Cross multiply
    774.33x = 1,068.24 × 577.50
  4. Step 4: Simplify right side
    774.33x = 616,908.60
  5. Step 5: Solve for x
    x = 616,908.60/774.33
  6. Step 6: Final answer
    x = 796.70

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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.