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Finding the Fourth Proportional to 578.68, 798.12 and 382

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Solution

The fourth proportional to 578.68, 798.12 and 382 is: 526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 798.12 = 382 : x
  2. Step 2: Convert to fraction form
    578.68/798.12 = 382/x
  3. Step 3: Cross multiply
    578.68x = 798.12 × 382
  4. Step 4: Simplify right side
    578.68x = 304,881.84
  5. Step 5: Solve for x
    x = 304,881.84/578.68
  6. Step 6: Final answer
    x = 526.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.