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Finding the Fourth Proportional to 666.61, 996.55 and 597.05

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Solution

The fourth proportional to 666.61, 996.55 and 597.05 is: 892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.61 : 996.55 = 597.05 : x
  2. Step 2: Convert to fraction form
    666.61/996.55 = 597.05/x
  3. Step 3: Cross multiply
    666.61x = 996.55 × 597.05
  4. Step 4: Simplify right side
    666.61x = 594,990.18
  5. Step 5: Solve for x
    x = 594,990.18/666.61
  6. Step 6: Final answer
    x = 892.56

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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.