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Finding the Fourth Proportional to 825.76, 1,140 and 564.16

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Solution

The fourth proportional to 825.76, 1,140 and 564.16 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.76 : 1,140 = 564.16 : x
  2. Step 2: Convert to fraction form
    825.76/1,140 = 564.16/x
  3. Step 3: Cross multiply
    825.76x = 1,140 × 564.16
  4. Step 4: Simplify right side
    825.76x = 643,142.40
  5. Step 5: Solve for x
    x = 643,142.40/825.76
  6. Step 6: Final answer
    x = 778.85

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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.