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Finding the Fourth Proportional to 866.03, 1,297.82 and 649.35

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Solution

The fourth proportional to 866.03, 1,297.82 and 649.35 is: 973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.03 : 1,297.82 = 649.35 : x
  2. Step 2: Convert to fraction form
    866.03/1,297.82 = 649.35/x
  3. Step 3: Cross multiply
    866.03x = 1,297.82 × 649.35
  4. Step 4: Simplify right side
    866.03x = 842,741.04
  5. Step 5: Solve for x
    x = 842,741.04/866.03
  6. Step 6: Final answer
    x = 973.11

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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.