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Finding the Fourth Proportional to 886.53, 1,223.57 and 513.45

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Solution

The fourth proportional to 886.53, 1,223.57 and 513.45 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.53 : 1,223.57 = 513.45 : x
  2. Step 2: Convert to fraction form
    886.53/1,223.57 = 513.45/x
  3. Step 3: Cross multiply
    886.53x = 1,223.57 × 513.45
  4. Step 4: Simplify right side
    886.53x = 628,242.02
  5. Step 5: Solve for x
    x = 628,242.02/886.53
  6. Step 6: Final answer
    x = 708.65

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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.