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Finding the Fourth Proportional to 886.04, 1,222.61 and 513.06

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Solution

The fourth proportional to 886.04, 1,222.61 and 513.06 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.04 : 1,222.61 = 513.06 : x
  2. Step 2: Convert to fraction form
    886.04/1,222.61 = 513.06/x
  3. Step 3: Cross multiply
    886.04x = 1,222.61 × 513.06
  4. Step 4: Simplify right side
    886.04x = 627,267.43
  5. Step 5: Solve for x
    x = 627,267.43/886.04
  6. Step 6: Final answer
    x = 707.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.