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Finding the Fourth Proportional to 1,133.78, 1,699.04 and 645.82

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Solution

The fourth proportional to 1,133.78, 1,699.04 and 645.82 is: 967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.78 : 1,699.04 = 645.82 : x
  2. Step 2: Convert to fraction form
    1,133.78/1,699.04 = 645.82/x
  3. Step 3: Cross multiply
    1,133.78x = 1,699.04 × 645.82
  4. Step 4: Simplify right side
    1,133.78x = 1,097,269.77
  5. Step 5: Solve for x
    x = 1,097,269.77/1,133.78
  6. Step 6: Final answer
    x = 967.80

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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.