Home / 1,148.16-1,721.61-407.40

Finding the Fourth Proportional to 1,148.16, 1,721.61 and 407.40

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Solution

The fourth proportional to 1,148.16, 1,721.61 and 407.40 is: 610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.16 : 1,721.61 = 407.40 : x
  2. Step 2: Convert to fraction form
    1,148.16/1,721.61 = 407.40/x
  3. Step 3: Cross multiply
    1,148.16x = 1,721.61 × 407.40
  4. Step 4: Simplify right side
    1,148.16x = 701,383.91
  5. Step 5: Solve for x
    x = 701,383.91/1,148.16
  6. Step 6: Final answer
    x = 610.88

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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.