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Finding the Fourth Proportional to 839.89, 1,159.12 and 485.94

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Solution

The fourth proportional to 839.89, 1,159.12 and 485.94 is: 670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.89 : 1,159.12 = 485.94 : x
  2. Step 2: Convert to fraction form
    839.89/1,159.12 = 485.94/x
  3. Step 3: Cross multiply
    839.89x = 1,159.12 × 485.94
  4. Step 4: Simplify right side
    839.89x = 563,260.26
  5. Step 5: Solve for x
    x = 563,260.26/839.89
  6. Step 6: Final answer
    x = 670.63

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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.