Home / 1,561.48-2,342.22-407.23

Finding the Fourth Proportional to 1,561.48, 2,342.22 and 407.23

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Solution

The fourth proportional to 1,561.48, 2,342.22 and 407.23 is: 610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.48 : 2,342.22 = 407.23 : x
  2. Step 2: Convert to fraction form
    1,561.48/2,342.22 = 407.23/x
  3. Step 3: Cross multiply
    1,561.48x = 2,342.22 × 407.23
  4. Step 4: Simplify right side
    1,561.48x = 953,814.87
  5. Step 5: Solve for x
    x = 953,814.87/1,561.48
  6. Step 6: Final answer
    x = 610.84

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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.