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Finding the Fourth Proportional to 589.91, 880.50 and 520.73

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Solution

The fourth proportional to 589.91, 880.50 and 520.73 is: 777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.91 : 880.50 = 520.73 : x
  2. Step 2: Convert to fraction form
    589.91/880.50 = 520.73/x
  3. Step 3: Cross multiply
    589.91x = 880.50 × 520.73
  4. Step 4: Simplify right side
    589.91x = 458,502.77
  5. Step 5: Solve for x
    x = 458,502.77/589.91
  6. Step 6: Final answer
    x = 777.24

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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.