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Finding the Fourth Proportional to 824.84, 1,138 and 559.64

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Solution

The fourth proportional to 824.84, 1,138 and 559.64 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,138 = 559.64 : x
  2. Step 2: Convert to fraction form
    824.84/1,138 = 559.64/x
  3. Step 3: Cross multiply
    824.84x = 1,138 × 559.64
  4. Step 4: Simplify right side
    824.84x = 636,870.32
  5. Step 5: Solve for x
    x = 636,870.32/824.84
  6. Step 6: Final answer
    x = 772.11

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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.