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Finding the Fourth Proportional to 582.39, 874.19 and 428.49

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Solution

The fourth proportional to 582.39, 874.19 and 428.49 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 874.19 = 428.49 : x
  2. Step 2: Convert to fraction form
    582.39/874.19 = 428.49/x
  3. Step 3: Cross multiply
    582.39x = 874.19 × 428.49
  4. Step 4: Simplify right side
    582.39x = 374,581.67
  5. Step 5: Solve for x
    x = 374,581.67/582.39
  6. Step 6: Final answer
    x = 643.18

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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.