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Finding the Fourth Proportional to 978.34, 1,467.76 and 284.99

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Solution

The fourth proportional to 978.34, 1,467.76 and 284.99 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.34 : 1,467.76 = 284.99 : x
  2. Step 2: Convert to fraction form
    978.34/1,467.76 = 284.99/x
  3. Step 3: Cross multiply
    978.34x = 1,467.76 × 284.99
  4. Step 4: Simplify right side
    978.34x = 418,301.66
  5. Step 5: Solve for x
    x = 418,301.66/978.34
  6. Step 6: Final answer
    x = 427.56

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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.