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Finding the Fourth Proportional to 589.80, 883.50 and 280.72

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Solution

The fourth proportional to 589.80, 883.50 and 280.72 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 883.50 = 280.72 : x
  2. Step 2: Convert to fraction form
    589.80/883.50 = 280.72/x
  3. Step 3: Cross multiply
    589.80x = 883.50 × 280.72
  4. Step 4: Simplify right side
    589.80x = 248,012.86
  5. Step 5: Solve for x
    x = 248,012.86/589.80
  6. Step 6: Final answer
    x = 420.50

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1.5x scale

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.