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Finding the Fourth Proportional to 934.54, 1,290.22 and 585.70

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Solution

The fourth proportional to 934.54, 1,290.22 and 585.70 is: 808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.54 : 1,290.22 = 585.70 : x
  2. Step 2: Convert to fraction form
    934.54/1,290.22 = 585.70/x
  3. Step 3: Cross multiply
    934.54x = 1,290.22 × 585.70
  4. Step 4: Simplify right side
    934.54x = 755,681.85
  5. Step 5: Solve for x
    x = 755,681.85/934.54
  6. Step 6: Final answer
    x = 808.61

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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.