Home / 1,140.23-1,710.32-409.38

Finding the Fourth Proportional to 1,140.23, 1,710.32 and 409.38

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Solution

The fourth proportional to 1,140.23, 1,710.32 and 409.38 is: 614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.23 : 1,710.32 = 409.38 : x
  2. Step 2: Convert to fraction form
    1,140.23/1,710.32 = 409.38/x
  3. Step 3: Cross multiply
    1,140.23x = 1,710.32 × 409.38
  4. Step 4: Simplify right side
    1,140.23x = 700,168.75
  5. Step 5: Solve for x
    x = 700,168.75/1,140.23
  6. Step 6: Final answer
    x = 614.06

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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.