Home / 1,564.14-2,346.21-409.89

Finding the Fourth Proportional to 1,564.14, 2,346.21 and 409.89

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Solution

The fourth proportional to 1,564.14, 2,346.21 and 409.89 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.14 : 2,346.21 = 409.89 : x
  2. Step 2: Convert to fraction form
    1,564.14/2,346.21 = 409.89/x
  3. Step 3: Cross multiply
    1,564.14x = 2,346.21 × 409.89
  4. Step 4: Simplify right side
    1,564.14x = 961,688.02
  5. Step 5: Solve for x
    x = 961,688.02/1,564.14
  6. Step 6: Final answer
    x = 614.84

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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.