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Finding the Fourth Proportional to 1,578.51, 2,366.12 and 538.15

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Solution

The fourth proportional to 1,578.51, 2,366.12 and 538.15 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.51 : 2,366.12 = 538.15 : x
  2. Step 2: Convert to fraction form
    1,578.51/2,366.12 = 538.15/x
  3. Step 3: Cross multiply
    1,578.51x = 2,366.12 × 538.15
  4. Step 4: Simplify right side
    1,578.51x = 1,273,326.36
  5. Step 5: Solve for x
    x = 1,273,326.36/1,578.51
  6. Step 6: Final answer
    x = 806.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.