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Finding the Fourth Proportional to 914.19, 1,260.86 and 599.43

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Solution

The fourth proportional to 914.19, 1,260.86 and 599.43 is: 826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.19 : 1,260.86 = 599.43 : x
  2. Step 2: Convert to fraction form
    914.19/1,260.86 = 599.43/x
  3. Step 3: Cross multiply
    914.19x = 1,260.86 × 599.43
  4. Step 4: Simplify right side
    914.19x = 755,794.31
  5. Step 5: Solve for x
    x = 755,794.31/914.19
  6. Step 6: Final answer
    x = 826.74

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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.