Home / 1,148.09-1,721.07-417.47

Finding the Fourth Proportional to 1,148.09, 1,721.07 and 417.47

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Solution

The fourth proportional to 1,148.09, 1,721.07 and 417.47 is: 625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.09 : 1,721.07 = 417.47 : x
  2. Step 2: Convert to fraction form
    1,148.09/1,721.07 = 417.47/x
  3. Step 3: Cross multiply
    1,148.09x = 1,721.07 × 417.47
  4. Step 4: Simplify right side
    1,148.09x = 718,486.49
  5. Step 5: Solve for x
    x = 718,486.49/1,148.09
  6. Step 6: Final answer
    x = 625.81

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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.