Home / 1,564.24-2,346.21-409.99

Finding the Fourth Proportional to 1,564.24, 2,346.21 and 409.99

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Solution

The fourth proportional to 1,564.24, 2,346.21 and 409.99 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.24 : 2,346.21 = 409.99 : x
  2. Step 2: Convert to fraction form
    1,564.24/2,346.21 = 409.99/x
  3. Step 3: Cross multiply
    1,564.24x = 2,346.21 × 409.99
  4. Step 4: Simplify right side
    1,564.24x = 961,922.64
  5. Step 5: Solve for x
    x = 961,922.64/1,564.24
  6. Step 6: Final answer
    x = 614.95

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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.