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Finding the Fourth Proportional to 824.64, 1,235.49 and 564.24

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Solution

The fourth proportional to 824.64, 1,235.49 and 564.24 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.64 : 1,235.49 = 564.24 : x
  2. Step 2: Convert to fraction form
    824.64/1,235.49 = 564.24/x
  3. Step 3: Cross multiply
    824.64x = 1,235.49 × 564.24
  4. Step 4: Simplify right side
    824.64x = 697,112.88
  5. Step 5: Solve for x
    x = 697,112.88/824.64
  6. Step 6: Final answer
    x = 845.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.