Home / 1,148.81-1,723.20-283.11

Finding the Fourth Proportional to 1,148.81, 1,723.20 and 283.11

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Solution

The fourth proportional to 1,148.81, 1,723.20 and 283.11 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.81 : 1,723.20 = 283.11 : x
  2. Step 2: Convert to fraction form
    1,148.81/1,723.20 = 283.11/x
  3. Step 3: Cross multiply
    1,148.81x = 1,723.20 × 283.11
  4. Step 4: Simplify right side
    1,148.81x = 487,855.15
  5. Step 5: Solve for x
    x = 487,855.15/1,148.81
  6. Step 6: Final answer
    x = 424.66

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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.