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Finding the Fourth Proportional to 666.77, 997.16 and 594.09

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Solution

The fourth proportional to 666.77, 997.16 and 594.09 is: 888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 997.16 = 594.09 : x
  2. Step 2: Convert to fraction form
    666.77/997.16 = 594.09/x
  3. Step 3: Cross multiply
    666.77x = 997.16 × 594.09
  4. Step 4: Simplify right side
    666.77x = 592,399.81
  5. Step 5: Solve for x
    x = 592,399.81/666.77
  6. Step 6: Final answer
    x = 888.47

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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.