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Finding the Fourth Proportional to 589.30, 879.65 and 546.47

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Solution

The fourth proportional to 589.30, 879.65 and 546.47 is: 815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.30 : 879.65 = 546.47 : x
  2. Step 2: Convert to fraction form
    589.30/879.65 = 546.47/x
  3. Step 3: Cross multiply
    589.30x = 879.65 × 546.47
  4. Step 4: Simplify right side
    589.30x = 480,701.80
  5. Step 5: Solve for x
    x = 480,701.80/589.30
  6. Step 6: Final answer
    x = 815.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.