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Finding the Fourth Proportional to 1,070.55, 1,477.44 and 628.29

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Solution

The fourth proportional to 1,070.55, 1,477.44 and 628.29 is: 867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.55 : 1,477.44 = 628.29 : x
  2. Step 2: Convert to fraction form
    1,070.55/1,477.44 = 628.29/x
  3. Step 3: Cross multiply
    1,070.55x = 1,477.44 × 628.29
  4. Step 4: Simplify right side
    1,070.55x = 928,260.78
  5. Step 5: Solve for x
    x = 928,260.78/1,070.55
  6. Step 6: Final answer
    x = 867.09

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