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Finding the Fourth Proportional to 666.54, 1,000.08 and 513.45

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Solution

The fourth proportional to 666.54, 1,000.08 and 513.45 is: 770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.54 : 1,000.08 = 513.45 : x
  2. Step 2: Convert to fraction form
    666.54/1,000.08 = 513.45/x
  3. Step 3: Cross multiply
    666.54x = 1,000.08 × 513.45
  4. Step 4: Simplify right side
    666.54x = 513,491.08
  5. Step 5: Solve for x
    x = 513,491.08/666.54
  6. Step 6: Final answer
    x = 770.38

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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.