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Finding the Fourth Proportional to 883.47, 1,218.65 and 584.72

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Solution

The fourth proportional to 883.47, 1,218.65 and 584.72 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.47 : 1,218.65 = 584.72 : x
  2. Step 2: Convert to fraction form
    883.47/1,218.65 = 584.72/x
  3. Step 3: Cross multiply
    883.47x = 1,218.65 × 584.72
  4. Step 4: Simplify right side
    883.47x = 712,569.03
  5. Step 5: Solve for x
    x = 712,569.03/883.47
  6. Step 6: Final answer
    x = 806.56

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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.