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Finding the Fourth Proportional to 825.86, 1,139.70 and 494.32

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Solution

The fourth proportional to 825.86, 1,139.70 and 494.32 is: 682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.86 : 1,139.70 = 494.32 : x
  2. Step 2: Convert to fraction form
    825.86/1,139.70 = 494.32/x
  3. Step 3: Cross multiply
    825.86x = 1,139.70 × 494.32
  4. Step 4: Simplify right side
    825.86x = 563,376.50
  5. Step 5: Solve for x
    x = 563,376.50/825.86
  6. Step 6: Final answer
    x = 682.17

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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.