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Finding the Fourth Proportional to 978.01, 1,467.20 and 284.65

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Solution

The fourth proportional to 978.01, 1,467.20 and 284.65 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.01 : 1,467.20 = 284.65 : x
  2. Step 2: Convert to fraction form
    978.01/1,467.20 = 284.65/x
  3. Step 3: Cross multiply
    978.01x = 1,467.20 × 284.65
  4. Step 4: Simplify right side
    978.01x = 417,638.48
  5. Step 5: Solve for x
    x = 417,638.48/978.01
  6. Step 6: Final answer
    x = 427.03

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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.