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Finding the Fourth Proportional to 839.86, 1,158.93 and 485.89

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Solution

The fourth proportional to 839.86, 1,158.93 and 485.89 is: 670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.86 : 1,158.93 = 485.89 : x
  2. Step 2: Convert to fraction form
    839.86/1,158.93 = 485.89/x
  3. Step 3: Cross multiply
    839.86x = 1,158.93 × 485.89
  4. Step 4: Simplify right side
    839.86x = 563,109.60
  5. Step 5: Solve for x
    x = 563,109.60/839.86
  6. Step 6: Final answer
    x = 670.48

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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.