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Finding the Fourth Proportional to 978.58, 1,467.80 and 458.45

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Solution

The fourth proportional to 978.58, 1,467.80 and 458.45 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.58 : 1,467.80 = 458.45 : x
  2. Step 2: Convert to fraction form
    978.58/1,467.80 = 458.45/x
  3. Step 3: Cross multiply
    978.58x = 1,467.80 × 458.45
  4. Step 4: Simplify right side
    978.58x = 672,907.15
  5. Step 5: Solve for x
    x = 672,907.15/978.58
  6. Step 6: Final answer
    x = 687.64

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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.