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Finding the Fourth Proportional to 665.45, 1,001.88 and 519.99

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Solution

The fourth proportional to 665.45, 1,001.88 and 519.99 is: 782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.45 : 1,001.88 = 519.99 : x
  2. Step 2: Convert to fraction form
    665.45/1,001.88 = 519.99/x
  3. Step 3: Cross multiply
    665.45x = 1,001.88 × 519.99
  4. Step 4: Simplify right side
    665.45x = 520,965.63
  5. Step 5: Solve for x
    x = 520,965.63/665.45
  6. Step 6: Final answer
    x = 782.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.