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Finding the Fourth Proportional to 1,027.07, 1,416.90 and 628.58

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Solution

The fourth proportional to 1,027.07, 1,416.90 and 628.58 is: 867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.07 : 1,416.90 = 628.58 : x
  2. Step 2: Convert to fraction form
    1,027.07/1,416.90 = 628.58/x
  3. Step 3: Cross multiply
    1,027.07x = 1,416.90 × 628.58
  4. Step 4: Simplify right side
    1,027.07x = 890,627.92
  5. Step 5: Solve for x
    x = 890,627.92/1,027.07
  6. Step 6: Final answer
    x = 867.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.