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Finding the Fourth Proportional to 978.02, 1,467.02 and 400.76

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Solution

The fourth proportional to 978.02, 1,467.02 and 400.76 is: 601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.02 : 1,467.02 = 400.76 : x
  2. Step 2: Convert to fraction form
    978.02/1,467.02 = 400.76/x
  3. Step 3: Cross multiply
    978.02x = 1,467.02 × 400.76
  4. Step 4: Simplify right side
    978.02x = 587,922.94
  5. Step 5: Solve for x
    x = 587,922.94/978.02
  6. Step 6: Final answer
    x = 601.14

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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.