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Finding the Fourth Proportional to 1,090.10, 1,634.78 and 651.50

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Solution

The fourth proportional to 1,090.10, 1,634.78 and 651.50 is: 977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.10 : 1,634.78 = 651.50 : x
  2. Step 2: Convert to fraction form
    1,090.10/1,634.78 = 651.50/x
  3. Step 3: Cross multiply
    1,090.10x = 1,634.78 × 651.50
  4. Step 4: Simplify right side
    1,090.10x = 1,065,059.17
  5. Step 5: Solve for x
    x = 1,065,059.17/1,090.10
  6. Step 6: Final answer
    x = 977.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.