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Finding the Fourth Proportional to 978.81, 1,468.62 and 749.18

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Solution

The fourth proportional to 978.81, 1,468.62 and 749.18 is: 1,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.81 : 1,468.62 = 749.18 : x
  2. Step 2: Convert to fraction form
    978.81/1,468.62 = 749.18/x
  3. Step 3: Cross multiply
    978.81x = 1,468.62 × 749.18
  4. Step 4: Simplify right side
    978.81x = 1,100,253.39
  5. Step 5: Solve for x
    x = 1,100,253.39/978.81
  6. Step 6: Final answer
    x = 1,124.07

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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.