Home / 1,582.72-2,374.08-428.56

Finding the Fourth Proportional to 1,582.72, 2,374.08 and 428.56

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Solution

The fourth proportional to 1,582.72, 2,374.08 and 428.56 is: 642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.72 : 2,374.08 = 428.56 : x
  2. Step 2: Convert to fraction form
    1,582.72/2,374.08 = 428.56/x
  3. Step 3: Cross multiply
    1,582.72x = 2,374.08 × 428.56
  4. Step 4: Simplify right side
    1,582.72x = 1,017,435.72
  5. Step 5: Solve for x
    x = 1,017,435.72/1,582.72
  6. Step 6: Final answer
    x = 642.84

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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.