Home / 1,282.45-1,922.13-588.16

Finding the Fourth Proportional to 1,282.45, 1,922.13 and 588.16

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Solution

The fourth proportional to 1,282.45, 1,922.13 and 588.16 is: 881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.45 : 1,922.13 = 588.16 : x
  2. Step 2: Convert to fraction form
    1,282.45/1,922.13 = 588.16/x
  3. Step 3: Cross multiply
    1,282.45x = 1,922.13 × 588.16
  4. Step 4: Simplify right side
    1,282.45x = 1,130,522.38
  5. Step 5: Solve for x
    x = 1,130,522.38/1,282.45
  6. Step 6: Final answer
    x = 881.53

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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.