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Finding the Fourth Proportional to 1,000.69, 1,501.45 and 513.47

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Solution

The fourth proportional to 1,000.69, 1,501.45 and 513.47 is: 770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.69 : 1,501.45 = 513.47 : x
  2. Step 2: Convert to fraction form
    1,000.69/1,501.45 = 513.47/x
  3. Step 3: Cross multiply
    1,000.69x = 1,501.45 × 513.47
  4. Step 4: Simplify right side
    1,000.69x = 770,952.00
  5. Step 5: Solve for x
    x = 770,952.00/1,000.69
  6. Step 6: Final answer
    x = 770.42

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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.