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Finding the Fourth Proportional to 774.68, 1,068.68 and 564.53

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Solution

The fourth proportional to 774.68, 1,068.68 and 564.53 is: 778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.68 : 1,068.68 = 564.53 : x
  2. Step 2: Convert to fraction form
    774.68/1,068.68 = 564.53/x
  3. Step 3: Cross multiply
    774.68x = 1,068.68 × 564.53
  4. Step 4: Simplify right side
    774.68x = 603,297.99
  5. Step 5: Solve for x
    x = 603,297.99/774.68
  6. Step 6: Final answer
    x = 778.78

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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.