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Finding the Fourth Proportional to 978.64, 1,468.18 and 285.29

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Solution

The fourth proportional to 978.64, 1,468.18 and 285.29 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.64 : 1,468.18 = 285.29 : x
  2. Step 2: Convert to fraction form
    978.64/1,468.18 = 285.29/x
  3. Step 3: Cross multiply
    978.64x = 1,468.18 × 285.29
  4. Step 4: Simplify right side
    978.64x = 418,849.02
  5. Step 5: Solve for x
    x = 418,849.02/978.64
  6. Step 6: Final answer
    x = 427.99

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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.