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Finding the Fourth Proportional to 1,074.92, 1,483.70 and 626.88

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Solution

The fourth proportional to 1,074.92, 1,483.70 and 626.88 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.92 : 1,483.70 = 626.88 : x
  2. Step 2: Convert to fraction form
    1,074.92/1,483.70 = 626.88/x
  3. Step 3: Cross multiply
    1,074.92x = 1,483.70 × 626.88
  4. Step 4: Simplify right side
    1,074.92x = 930,101.86
  5. Step 5: Solve for x
    x = 930,101.86/1,074.92
  6. Step 6: Final answer
    x = 865.28

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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.