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Finding the Fourth Proportional to 1,189.08, 1,783.61 and 458.14

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Solution

The fourth proportional to 1,189.08, 1,783.61 and 458.14 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.08 : 1,783.61 = 458.14 : x
  2. Step 2: Convert to fraction form
    1,189.08/1,783.61 = 458.14/x
  3. Step 3: Cross multiply
    1,189.08x = 1,783.61 × 458.14
  4. Step 4: Simplify right side
    1,189.08x = 817,148.28
  5. Step 5: Solve for x
    x = 817,148.28/1,189.08
  6. Step 6: Final answer
    x = 687.21

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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.