Home / 1,561.27-2,341.87-465.49

Finding the Fourth Proportional to 1,561.27, 2,341.87 and 465.49

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Solution

The fourth proportional to 1,561.27, 2,341.87 and 465.49 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.27 : 2,341.87 = 465.49 : x
  2. Step 2: Convert to fraction form
    1,561.27/2,341.87 = 465.49/x
  3. Step 3: Cross multiply
    1,561.27x = 2,341.87 × 465.49
  4. Step 4: Simplify right side
    1,561.27x = 1,090,117.07
  5. Step 5: Solve for x
    x = 1,090,117.07/1,561.27
  6. Step 6: Final answer
    x = 698.22

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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.