Home / 1,295.76-1,942.29-565.14

Finding the Fourth Proportional to 1,295.76, 1,942.29 and 565.14

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Solution

The fourth proportional to 1,295.76, 1,942.29 and 565.14 is: 847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.76 : 1,942.29 = 565.14 : x
  2. Step 2: Convert to fraction form
    1,295.76/1,942.29 = 565.14/x
  3. Step 3: Cross multiply
    1,295.76x = 1,942.29 × 565.14
  4. Step 4: Simplify right side
    1,295.76x = 1,097,665.77
  5. Step 5: Solve for x
    x = 1,097,665.77/1,295.76
  6. Step 6: Final answer
    x = 847.12

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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.