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Finding the Fourth Proportional to 882.04, 1,216.14 and 715.64

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Solution

The fourth proportional to 882.04, 1,216.14 and 715.64 is: 986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.04 : 1,216.14 = 715.64 : x
  2. Step 2: Convert to fraction form
    882.04/1,216.14 = 715.64/x
  3. Step 3: Cross multiply
    882.04x = 1,216.14 × 715.64
  4. Step 4: Simplify right side
    882.04x = 870,318.43
  5. Step 5: Solve for x
    x = 870,318.43/882.04
  6. Step 6: Final answer
    x = 986.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.