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Finding the Fourth Proportional to 886.77, 1,330.13 and 309.63

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Solution

The fourth proportional to 886.77, 1,330.13 and 309.63 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.77 : 1,330.13 = 309.63 : x
  2. Step 2: Convert to fraction form
    886.77/1,330.13 = 309.63/x
  3. Step 3: Cross multiply
    886.77x = 1,330.13 × 309.63
  4. Step 4: Simplify right side
    886.77x = 411,848.15
  5. Step 5: Solve for x
    x = 411,848.15/886.77
  6. Step 6: Final answer
    x = 464.44

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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.