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Finding the Fourth Proportional to 811.70, 1,215.67 and 522.26

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Solution

The fourth proportional to 811.70, 1,215.67 and 522.26 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.70 : 1,215.67 = 522.26 : x
  2. Step 2: Convert to fraction form
    811.70/1,215.67 = 522.26/x
  3. Step 3: Cross multiply
    811.70x = 1,215.67 × 522.26
  4. Step 4: Simplify right side
    811.70x = 634,895.81
  5. Step 5: Solve for x
    x = 634,895.81/811.70
  6. Step 6: Final answer
    x = 782.18

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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.