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Finding the Fourth Proportional to 822.70, 1,233.59 and 562.99

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Solution

The fourth proportional to 822.70, 1,233.59 and 562.99 is: 844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.70 : 1,233.59 = 562.99 : x
  2. Step 2: Convert to fraction form
    822.70/1,233.59 = 562.99/x
  3. Step 3: Cross multiply
    822.70x = 1,233.59 × 562.99
  4. Step 4: Simplify right side
    822.70x = 694,498.83
  5. Step 5: Solve for x
    x = 694,498.83/822.70
  6. Step 6: Final answer
    x = 844.17

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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.