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Finding the Fourth Proportional to 1,052.86, 1,578.75 and 359.23

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Solution

The fourth proportional to 1,052.86, 1,578.75 and 359.23 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.86 : 1,578.75 = 359.23 : x
  2. Step 2: Convert to fraction form
    1,052.86/1,578.75 = 359.23/x
  3. Step 3: Cross multiply
    1,052.86x = 1,578.75 × 359.23
  4. Step 4: Simplify right side
    1,052.86x = 567,134.36
  5. Step 5: Solve for x
    x = 567,134.36/1,052.86
  6. Step 6: Final answer
    x = 538.66

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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.