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Finding the Fourth Proportional to 772, 1,064.72 and 562.92

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Solution

The fourth proportional to 772, 1,064.72 and 562.92 is: 776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,064.72 = 562.92 : x
  2. Step 2: Convert to fraction form
    772/1,064.72 = 562.92/x
  3. Step 3: Cross multiply
    772x = 1,064.72 × 562.92
  4. Step 4: Simplify right side
    772x = 599,352.18
  5. Step 5: Solve for x
    x = 599,352.18/772
  6. Step 6: Final answer
    x = 776.36

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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.