Home / 1,578.75-2,366.28-929.94

Finding the Fourth Proportional to 1,578.75, 2,366.28 and 929.94

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Solution

The fourth proportional to 1,578.75, 2,366.28 and 929.94 is: 1,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.75 : 2,366.28 = 929.94 : x
  2. Step 2: Convert to fraction form
    1,578.75/2,366.28 = 929.94/x
  3. Step 3: Cross multiply
    1,578.75x = 2,366.28 × 929.94
  4. Step 4: Simplify right side
    1,578.75x = 2,200,498.42
  5. Step 5: Solve for x
    x = 2,200,498.42/1,578.75
  6. Step 6: Final answer
    x = 1,393.82

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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.