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Finding the Fourth Proportional to 1,098.09, 1,515.51 and 656.28

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Solution

The fourth proportional to 1,098.09, 1,515.51 and 656.28 is: 905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.09 : 1,515.51 = 656.28 : x
  2. Step 2: Convert to fraction form
    1,098.09/1,515.51 = 656.28/x
  3. Step 3: Cross multiply
    1,098.09x = 1,515.51 × 656.28
  4. Step 4: Simplify right side
    1,098.09x = 994,598.90
  5. Step 5: Solve for x
    x = 994,598.90/1,098.09
  6. Step 6: Final answer
    x = 905.75

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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.