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Finding the Fourth Proportional to 519.59, 713.65 and 487.46

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Solution

The fourth proportional to 519.59, 713.65 and 487.46 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.59 : 713.65 = 487.46 : x
  2. Step 2: Convert to fraction form
    519.59/713.65 = 487.46/x
  3. Step 3: Cross multiply
    519.59x = 713.65 × 487.46
  4. Step 4: Simplify right side
    519.59x = 347,875.83
  5. Step 5: Solve for x
    x = 347,875.83/519.59
  6. Step 6: Final answer
    x = 669.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.