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Finding the Fourth Proportional to 883.65, 1,332.14 and 824.21

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Solution

The fourth proportional to 883.65, 1,332.14 and 824.21 is: 1,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.65 : 1,332.14 = 824.21 : x
  2. Step 2: Convert to fraction form
    883.65/1,332.14 = 824.21/x
  3. Step 3: Cross multiply
    883.65x = 1,332.14 × 824.21
  4. Step 4: Simplify right side
    883.65x = 1,097,963.11
  5. Step 5: Solve for x
    x = 1,097,963.11/883.65
  6. Step 6: Final answer
    x = 1,242.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.