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Finding the Fourth Proportional to 979.06, 1,468.56 and 401.50

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Solution

The fourth proportional to 979.06, 1,468.56 and 401.50 is: 602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.06 : 1,468.56 = 401.50 : x
  2. Step 2: Convert to fraction form
    979.06/1,468.56 = 401.50/x
  3. Step 3: Cross multiply
    979.06x = 1,468.56 × 401.50
  4. Step 4: Simplify right side
    979.06x = 589,626.84
  5. Step 5: Solve for x
    x = 589,626.84/979.06
  6. Step 6: Final answer
    x = 602.24

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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.