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Finding the Fourth Proportional to 1,506.99, 2,079.24 and 917.11

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Solution

The fourth proportional to 1,506.99, 2,079.24 and 917.11 is: 1,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.99 : 2,079.24 = 917.11 : x
  2. Step 2: Convert to fraction form
    1,506.99/2,079.24 = 917.11/x
  3. Step 3: Cross multiply
    1,506.99x = 2,079.24 × 917.11
  4. Step 4: Simplify right side
    1,506.99x = 1,906,890.96
  5. Step 5: Solve for x
    x = 1,906,890.96/1,506.99
  6. Step 6: Final answer
    x = 1,265.36

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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.