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Finding the Fourth Proportional to 1,070.87, 1,477.78 and 628.76

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Solution

The fourth proportional to 1,070.87, 1,477.78 and 628.76 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.87 : 1,477.78 = 628.76 : x
  2. Step 2: Convert to fraction form
    1,070.87/1,477.78 = 628.76/x
  3. Step 3: Cross multiply
    1,070.87x = 1,477.78 × 628.76
  4. Step 4: Simplify right side
    1,070.87x = 929,171.08
  5. Step 5: Solve for x
    x = 929,171.08/1,070.87
  6. Step 6: Final answer
    x = 867.68

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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.