Home / 1,148.02-1,721.49-417.09

Finding the Fourth Proportional to 1,148.02, 1,721.49 and 417.09

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Solution

The fourth proportional to 1,148.02, 1,721.49 and 417.09 is: 625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.02 : 1,721.49 = 417.09 : x
  2. Step 2: Convert to fraction form
    1,148.02/1,721.49 = 417.09/x
  3. Step 3: Cross multiply
    1,148.02x = 1,721.49 × 417.09
  4. Step 4: Simplify right side
    1,148.02x = 718,016.26
  5. Step 5: Solve for x
    x = 718,016.26/1,148.02
  6. Step 6: Final answer
    x = 625.44

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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.