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Finding the Fourth Proportional to 882.91, 1,322.16 and 623.17

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Solution

The fourth proportional to 882.91, 1,322.16 and 623.17 is: 933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.91 : 1,322.16 = 623.17 : x
  2. Step 2: Convert to fraction form
    882.91/1,322.16 = 623.17/x
  3. Step 3: Cross multiply
    882.91x = 1,322.16 × 623.17
  4. Step 4: Simplify right side
    882.91x = 823,930.45
  5. Step 5: Solve for x
    x = 823,930.45/882.91
  6. Step 6: Final answer
    x = 933.20

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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.