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Finding the Fourth Proportional to 1,215.87, 1,822.59 and 522.99

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Solution

The fourth proportional to 1,215.87, 1,822.59 and 522.99 is: 783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.87 : 1,822.59 = 522.99 : x
  2. Step 2: Convert to fraction form
    1,215.87/1,822.59 = 522.99/x
  3. Step 3: Cross multiply
    1,215.87x = 1,822.59 × 522.99
  4. Step 4: Simplify right side
    1,215.87x = 953,196.34
  5. Step 5: Solve for x
    x = 953,196.34/1,215.87
  6. Step 6: Final answer
    x = 783.96

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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.