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Finding the Fourth Proportional to 532.35, 798.78 and 285.41

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Solution

The fourth proportional to 532.35, 798.78 and 285.41 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 798.78 = 285.41 : x
  2. Step 2: Convert to fraction form
    532.35/798.78 = 285.41/x
  3. Step 3: Cross multiply
    532.35x = 798.78 × 285.41
  4. Step 4: Simplify right side
    532.35x = 227,975.81
  5. Step 5: Solve for x
    x = 227,975.81/532.35
  6. Step 6: Final answer
    x = 428.24

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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.