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Finding the Fourth Proportional to 666.22, 1,003.12 and 589.66

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Solution

The fourth proportional to 666.22, 1,003.12 and 589.66 is: 887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.22 : 1,003.12 = 589.66 : x
  2. Step 2: Convert to fraction form
    666.22/1,003.12 = 589.66/x
  3. Step 3: Cross multiply
    666.22x = 1,003.12 × 589.66
  4. Step 4: Simplify right side
    666.22x = 591,499.74
  5. Step 5: Solve for x
    x = 591,499.74/666.22
  6. Step 6: Final answer
    x = 887.84

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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.