Home / 1,582.42-2,373.54-428.17

Finding the Fourth Proportional to 1,582.42, 2,373.54 and 428.17

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Solution

The fourth proportional to 1,582.42, 2,373.54 and 428.17 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.42 : 2,373.54 = 428.17 : x
  2. Step 2: Convert to fraction form
    1,582.42/2,373.54 = 428.17/x
  3. Step 3: Cross multiply
    1,582.42x = 2,373.54 × 428.17
  4. Step 4: Simplify right side
    1,582.42x = 1,016,278.62
  5. Step 5: Solve for x
    x = 1,016,278.62/1,582.42
  6. Step 6: Final answer
    x = 642.23

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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.