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Finding the Fourth Proportional to 1,076.42, 1,485.74 and 628.65

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Solution

The fourth proportional to 1,076.42, 1,485.74 and 628.65 is: 867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.42 : 1,485.74 = 628.65 : x
  2. Step 2: Convert to fraction form
    1,076.42/1,485.74 = 628.65/x
  3. Step 3: Cross multiply
    1,076.42x = 1,485.74 × 628.65
  4. Step 4: Simplify right side
    1,076.42x = 934,012.02
  5. Step 5: Solve for x
    x = 934,012.02/1,076.42
  6. Step 6: Final answer
    x = 867.70

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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.