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Finding the Fourth Proportional to 810.84, 1,217.34 and 696.36

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Solution

The fourth proportional to 810.84, 1,217.34 and 696.36 is: 1,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.84 : 1,217.34 = 696.36 : x
  2. Step 2: Convert to fraction form
    810.84/1,217.34 = 696.36/x
  3. Step 3: Cross multiply
    810.84x = 1,217.34 × 696.36
  4. Step 4: Simplify right side
    810.84x = 847,706.88
  5. Step 5: Solve for x
    x = 847,706.88/810.84
  6. Step 6: Final answer
    x = 1,045.47

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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.