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Finding the Fourth Proportional to 929.31, 1,382.00 and 900.11

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Solution

The fourth proportional to 929.31, 1,382.00 and 900.11 is: 1,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.31 : 1,382.00 = 900.11 : x
  2. Step 2: Convert to fraction form
    929.31/1,382.00 = 900.11/x
  3. Step 3: Cross multiply
    929.31x = 1,382.00 × 900.11
  4. Step 4: Simplify right side
    929.31x = 1,243,950.97
  5. Step 5: Solve for x
    x = 1,243,950.97/929.31
  6. Step 6: Final answer
    x = 1,338.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.