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Finding the Fourth Proportional to 578.43, 798.14 and 368.24

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Solution

The fourth proportional to 578.43, 798.14 and 368.24 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 798.14 = 368.24 : x
  2. Step 2: Convert to fraction form
    578.43/798.14 = 368.24/x
  3. Step 3: Cross multiply
    578.43x = 798.14 × 368.24
  4. Step 4: Simplify right side
    578.43x = 293,904.00
  5. Step 5: Solve for x
    x = 293,904.00/578.43
  6. Step 6: Final answer
    x = 508.11

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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.