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Finding the Fourth Proportional to 917.56, 1,263.90 and 857.08

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Solution

The fourth proportional to 917.56, 1,263.90 and 857.08 is: 1,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.56 : 1,263.90 = 857.08 : x
  2. Step 2: Convert to fraction form
    917.56/1,263.90 = 857.08/x
  3. Step 3: Cross multiply
    917.56x = 1,263.90 × 857.08
  4. Step 4: Simplify right side
    917.56x = 1,083,263.41
  5. Step 5: Solve for x
    x = 1,083,263.41/917.56
  6. Step 6: Final answer
    x = 1,180.59

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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.