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Finding the Fourth Proportional to 816.42, 1,225.74 and 706.56

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Solution

The fourth proportional to 816.42, 1,225.74 and 706.56 is: 1,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.42 : 1,225.74 = 706.56 : x
  2. Step 2: Convert to fraction form
    816.42/1,225.74 = 706.56/x
  3. Step 3: Cross multiply
    816.42x = 1,225.74 × 706.56
  4. Step 4: Simplify right side
    816.42x = 866,058.85
  5. Step 5: Solve for x
    x = 866,058.85/816.42
  6. Step 6: Final answer
    x = 1,060.80

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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.