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Finding the Fourth Proportional to 917.75, 1,266.62 and 637.83

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Solution

The fourth proportional to 917.75, 1,266.62 and 637.83 is: 880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.75 : 1,266.62 = 637.83 : x
  2. Step 2: Convert to fraction form
    917.75/1,266.62 = 637.83/x
  3. Step 3: Cross multiply
    917.75x = 1,266.62 × 637.83
  4. Step 4: Simplify right side
    917.75x = 807,888.23
  5. Step 5: Solve for x
    x = 807,888.23/917.75
  6. Step 6: Final answer
    x = 880.29

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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.