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Finding the Fourth Proportional to 666.16, 997.52 and 535.55

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Solution

The fourth proportional to 666.16, 997.52 and 535.55 is: 801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.16 : 997.52 = 535.55 : x
  2. Step 2: Convert to fraction form
    666.16/997.52 = 535.55/x
  3. Step 3: Cross multiply
    666.16x = 997.52 × 535.55
  4. Step 4: Simplify right side
    666.16x = 534,214.17
  5. Step 5: Solve for x
    x = 534,214.17/666.16
  6. Step 6: Final answer
    x = 801.93

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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.