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Finding the Fourth Proportional to 978.42, 1,467.96 and 612.77

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Solution

The fourth proportional to 978.42, 1,467.96 and 612.77 is: 919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.42 : 1,467.96 = 612.77 : x
  2. Step 2: Convert to fraction form
    978.42/1,467.96 = 612.77/x
  3. Step 3: Cross multiply
    978.42x = 1,467.96 × 612.77
  4. Step 4: Simplify right side
    978.42x = 899,521.85
  5. Step 5: Solve for x
    x = 899,521.85/978.42
  6. Step 6: Final answer
    x = 919.37

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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.