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Finding the Fourth Proportional to 654.52, 979.98 and 510.52

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Solution

The fourth proportional to 654.52, 979.98 and 510.52 is: 764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 979.98 = 510.52 : x
  2. Step 2: Convert to fraction form
    654.52/979.98 = 510.52/x
  3. Step 3: Cross multiply
    654.52x = 979.98 × 510.52
  4. Step 4: Simplify right side
    654.52x = 500,299.39
  5. Step 5: Solve for x
    x = 500,299.39/654.52
  6. Step 6: Final answer
    x = 764.38

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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.