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Finding the Fourth Proportional to 1,053.19, 1,585.97 and 917.82

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Solution

The fourth proportional to 1,053.19, 1,585.97 and 917.82 is: 1,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.19 : 1,585.97 = 917.82 : x
  2. Step 2: Convert to fraction form
    1,053.19/1,585.97 = 917.82/x
  3. Step 3: Cross multiply
    1,053.19x = 1,585.97 × 917.82
  4. Step 4: Simplify right side
    1,053.19x = 1,455,634.99
  5. Step 5: Solve for x
    x = 1,455,634.99/1,053.19
  6. Step 6: Final answer
    x = 1,382.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.