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Finding the Fourth Proportional to 886.48, 1,329.72 and 309.52

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Solution

The fourth proportional to 886.48, 1,329.72 and 309.52 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,329.72 = 309.52 : x
  2. Step 2: Convert to fraction form
    886.48/1,329.72 = 309.52/x
  3. Step 3: Cross multiply
    886.48x = 1,329.72 × 309.52
  4. Step 4: Simplify right side
    886.48x = 411,574.93
  5. Step 5: Solve for x
    x = 411,574.93/886.48
  6. Step 6: Final answer
    x = 464.28

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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.