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Finding the Fourth Proportional to 665.59, 994.96 and 527.08

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Solution

The fourth proportional to 665.59, 994.96 and 527.08 is: 787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.59 : 994.96 = 527.08 : x
  2. Step 2: Convert to fraction form
    665.59/994.96 = 527.08/x
  3. Step 3: Cross multiply
    665.59x = 994.96 × 527.08
  4. Step 4: Simplify right side
    665.59x = 524,418.54
  5. Step 5: Solve for x
    x = 524,418.54/665.59
  6. Step 6: Final answer
    x = 787.91

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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.