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Finding the Fourth Proportional to 1,188.70, 1,783.12 and 458.28

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Solution

The fourth proportional to 1,188.70, 1,783.12 and 458.28 is: 687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.70 : 1,783.12 = 458.28 : x
  2. Step 2: Convert to fraction form
    1,188.70/1,783.12 = 458.28/x
  3. Step 3: Cross multiply
    1,188.70x = 1,783.12 × 458.28
  4. Step 4: Simplify right side
    1,188.70x = 817,168.23
  5. Step 5: Solve for x
    x = 817,168.23/1,188.70
  6. Step 6: Final answer
    x = 687.45

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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.