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Finding the Fourth Proportional to 589.14, 886.55 and 485.78

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Solution

The fourth proportional to 589.14, 886.55 and 485.78 is: 731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 886.55 = 485.78 : x
  2. Step 2: Convert to fraction form
    589.14/886.55 = 485.78/x
  3. Step 3: Cross multiply
    589.14x = 886.55 × 485.78
  4. Step 4: Simplify right side
    589.14x = 430,661.40
  5. Step 5: Solve for x
    x = 430,661.40/589.14
  6. Step 6: Final answer
    x = 731.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.