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Finding the Fourth Proportional to 978.57, 1,467.29 and 670.80

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Solution

The fourth proportional to 978.57, 1,467.29 and 670.80 is: 1,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.57 : 1,467.29 = 670.80 : x
  2. Step 2: Convert to fraction form
    978.57/1,467.29 = 670.80/x
  3. Step 3: Cross multiply
    978.57x = 1,467.29 × 670.80
  4. Step 4: Simplify right side
    978.57x = 984,254.78
  5. Step 5: Solve for x
    x = 984,254.78/978.57
  6. Step 6: Final answer
    x = 1,005.81

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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.