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Finding the Fourth Proportional to 1,076.28, 1,485.14 and 656.87

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Solution

The fourth proportional to 1,076.28, 1,485.14 and 656.87 is: 906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.28 : 1,485.14 = 656.87 : x
  2. Step 2: Convert to fraction form
    1,076.28/1,485.14 = 656.87/x
  3. Step 3: Cross multiply
    1,076.28x = 1,485.14 × 656.87
  4. Step 4: Simplify right side
    1,076.28x = 975,533.20
  5. Step 5: Solve for x
    x = 975,533.20/1,076.28
  6. Step 6: Final answer
    x = 906.39

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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.