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Finding the Fourth Proportional to 1,046.84, 1,561.11 and 917.43

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Solution

The fourth proportional to 1,046.84, 1,561.11 and 917.43 is: 1,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.84 : 1,561.11 = 917.43 : x
  2. Step 2: Convert to fraction form
    1,046.84/1,561.11 = 917.43/x
  3. Step 3: Cross multiply
    1,046.84x = 1,561.11 × 917.43
  4. Step 4: Simplify right side
    1,046.84x = 1,432,209.15
  5. Step 5: Solve for x
    x = 1,432,209.15/1,046.84
  6. Step 6: Final answer
    x = 1,368.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.