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Finding the Fourth Proportional to 582.84, 873.49 and 428.04

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Solution

The fourth proportional to 582.84, 873.49 and 428.04 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.84 : 873.49 = 428.04 : x
  2. Step 2: Convert to fraction form
    582.84/873.49 = 428.04/x
  3. Step 3: Cross multiply
    582.84x = 873.49 × 428.04
  4. Step 4: Simplify right side
    582.84x = 373,886.52
  5. Step 5: Solve for x
    x = 373,886.52/582.84
  6. Step 6: Final answer
    x = 641.49

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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.