Home / 1,148.08-1,722.12-282.40

Finding the Fourth Proportional to 1,148.08, 1,722.12 and 282.40

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Solution

The fourth proportional to 1,148.08, 1,722.12 and 282.40 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.08 : 1,722.12 = 282.40 : x
  2. Step 2: Convert to fraction form
    1,148.08/1,722.12 = 282.40/x
  3. Step 3: Cross multiply
    1,148.08x = 1,722.12 × 282.40
  4. Step 4: Simplify right side
    1,148.08x = 486,326.69
  5. Step 5: Solve for x
    x = 486,326.69/1,148.08
  6. Step 6: Final answer
    x = 423.60

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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.