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Finding the Fourth Proportional to 815.49, 1,217.95 and 706.14

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Solution

The fourth proportional to 815.49, 1,217.95 and 706.14 is: 1,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.49 : 1,217.95 = 706.14 : x
  2. Step 2: Convert to fraction form
    815.49/1,217.95 = 706.14/x
  3. Step 3: Cross multiply
    815.49x = 1,217.95 × 706.14
  4. Step 4: Simplify right side
    815.49x = 860,041.45
  5. Step 5: Solve for x
    x = 860,041.45/815.49
  6. Step 6: Final answer
    x = 1,054.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.