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Finding the Fourth Proportional to 666.50, 1,000.22 and 538.05

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Solution

The fourth proportional to 666.50, 1,000.22 and 538.05 is: 807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.50 : 1,000.22 = 538.05 : x
  2. Step 2: Convert to fraction form
    666.50/1,000.22 = 538.05/x
  3. Step 3: Cross multiply
    666.50x = 1,000.22 × 538.05
  4. Step 4: Simplify right side
    666.50x = 538,168.37
  5. Step 5: Solve for x
    x = 538,168.37/666.50
  6. Step 6: Final answer
    x = 807.45

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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.