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Finding the Fourth Proportional to 587.79, 881.73 and 519.93

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Solution

The fourth proportional to 587.79, 881.73 and 519.93 is: 779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.79 : 881.73 = 519.93 : x
  2. Step 2: Convert to fraction form
    587.79/881.73 = 519.93/x
  3. Step 3: Cross multiply
    587.79x = 881.73 × 519.93
  4. Step 4: Simplify right side
    587.79x = 458,437.88
  5. Step 5: Solve for x
    x = 458,437.88/587.79
  6. Step 6: Final answer
    x = 779.93

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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.