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Finding the Fourth Proportional to 772.85, 1,066.18 and 562.94

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Solution

The fourth proportional to 772.85, 1,066.18 and 562.94 is: 776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.85 : 1,066.18 = 562.94 : x
  2. Step 2: Convert to fraction form
    772.85/1,066.18 = 562.94/x
  3. Step 3: Cross multiply
    772.85x = 1,066.18 × 562.94
  4. Step 4: Simplify right side
    772.85x = 600,195.37
  5. Step 5: Solve for x
    x = 600,195.37/772.85
  6. Step 6: Final answer
    x = 776.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.