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Finding the Fourth Proportional to 917.95, 1,265.34 and 696.01

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Solution

The fourth proportional to 917.95, 1,265.34 and 696.01 is: 959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.95 : 1,265.34 = 696.01 : x
  2. Step 2: Convert to fraction form
    917.95/1,265.34 = 696.01/x
  3. Step 3: Cross multiply
    917.95x = 1,265.34 × 696.01
  4. Step 4: Simplify right side
    917.95x = 880,689.29
  5. Step 5: Solve for x
    x = 880,689.29/917.95
  6. Step 6: Final answer
    x = 959.41

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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.