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Finding the Fourth Proportional to 978.53, 1,467.96 and 458.40

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Solution

The fourth proportional to 978.53, 1,467.96 and 458.40 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.53 : 1,467.96 = 458.40 : x
  2. Step 2: Convert to fraction form
    978.53/1,467.96 = 458.40/x
  3. Step 3: Cross multiply
    978.53x = 1,467.96 × 458.40
  4. Step 4: Simplify right side
    978.53x = 672,916.65
  5. Step 5: Solve for x
    x = 672,916.65/978.53
  6. Step 6: Final answer
    x = 687.68

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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.