Home / 1,578.19-2,367.59-712.50

Finding the Fourth Proportional to 1,578.19, 2,367.59 and 712.50

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Solution

The fourth proportional to 1,578.19, 2,367.59 and 712.50 is: 1,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.19 : 2,367.59 = 712.50 : x
  2. Step 2: Convert to fraction form
    1,578.19/2,367.59 = 712.50/x
  3. Step 3: Cross multiply
    1,578.19x = 2,367.59 × 712.50
  4. Step 4: Simplify right side
    1,578.19x = 1,686,904.31
  5. Step 5: Solve for x
    x = 1,686,904.31/1,578.19
  6. Step 6: Final answer
    x = 1,068.89

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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.