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Finding the Fourth Proportional to 612.68, 923.22 and 584.87

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Solution

The fourth proportional to 612.68, 923.22 and 584.87 is: 881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 923.22 = 584.87 : x
  2. Step 2: Convert to fraction form
    612.68/923.22 = 584.87/x
  3. Step 3: Cross multiply
    612.68x = 923.22 × 584.87
  4. Step 4: Simplify right side
    612.68x = 539,959.07
  5. Step 5: Solve for x
    x = 539,959.07/612.68
  6. Step 6: Final answer
    x = 881.31

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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.