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Finding the Fourth Proportional to 926.18, 1,389.13 and 309.91

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Solution

The fourth proportional to 926.18, 1,389.13 and 309.91 is: 464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.18 : 1,389.13 = 309.91 : x
  2. Step 2: Convert to fraction form
    926.18/1,389.13 = 309.91/x
  3. Step 3: Cross multiply
    926.18x = 1,389.13 × 309.91
  4. Step 4: Simplify right side
    926.18x = 430,505.28
  5. Step 5: Solve for x
    x = 430,505.28/926.18
  6. Step 6: Final answer
    x = 464.82

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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.