Home / 1,148.90-1,723.32-283.20

Finding the Fourth Proportional to 1,148.90, 1,723.32 and 283.20

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Solution

The fourth proportional to 1,148.90, 1,723.32 and 283.20 is: 424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.90 : 1,723.32 = 283.20 : x
  2. Step 2: Convert to fraction form
    1,148.90/1,723.32 = 283.20/x
  3. Step 3: Cross multiply
    1,148.90x = 1,723.32 × 283.20
  4. Step 4: Simplify right side
    1,148.90x = 488,044.22
  5. Step 5: Solve for x
    x = 488,044.22/1,148.90
  6. Step 6: Final answer
    x = 424.79

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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.