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Finding the Fourth Proportional to 978.56, 1,467.24 and 491.36

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Solution

The fourth proportional to 978.56, 1,467.24 and 491.36 is: 736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.56 : 1,467.24 = 491.36 : x
  2. Step 2: Convert to fraction form
    978.56/1,467.24 = 491.36/x
  3. Step 3: Cross multiply
    978.56x = 1,467.24 × 491.36
  4. Step 4: Simplify right side
    978.56x = 720,943.05
  5. Step 5: Solve for x
    x = 720,943.05/978.56
  6. Step 6: Final answer
    x = 736.74

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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.