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Finding the Fourth Proportional to 882.47, 1,217.83 and 528.35

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Solution

The fourth proportional to 882.47, 1,217.83 and 528.35 is: 729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.47 : 1,217.83 = 528.35 : x
  2. Step 2: Convert to fraction form
    882.47/1,217.83 = 528.35/x
  3. Step 3: Cross multiply
    882.47x = 1,217.83 × 528.35
  4. Step 4: Simplify right side
    882.47x = 643,433.07
  5. Step 5: Solve for x
    x = 643,433.07/882.47
  6. Step 6: Final answer
    x = 729.13

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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.