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Finding the Fourth Proportional to 1,134.14, 1,699.90 and 647.54

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Solution

The fourth proportional to 1,134.14, 1,699.90 and 647.54 is: 970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.14 : 1,699.90 = 647.54 : x
  2. Step 2: Convert to fraction form
    1,134.14/1,699.90 = 647.54/x
  3. Step 3: Cross multiply
    1,134.14x = 1,699.90 × 647.54
  4. Step 4: Simplify right side
    1,134.14x = 1,100,743.13
  5. Step 5: Solve for x
    x = 1,100,743.13/1,134.14
  6. Step 6: Final answer
    x = 970.55

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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.