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Finding the Fourth Proportional to 654.14, 979.86 and 524.36

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Solution

The fourth proportional to 654.14, 979.86 and 524.36 is: 785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 979.86 = 524.36 : x
  2. Step 2: Convert to fraction form
    654.14/979.86 = 524.36/x
  3. Step 3: Cross multiply
    654.14x = 979.86 × 524.36
  4. Step 4: Simplify right side
    654.14x = 513,799.39
  5. Step 5: Solve for x
    x = 513,799.39/654.14
  6. Step 6: Final answer
    x = 785.46

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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.