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Finding the Fourth Proportional to 578.90, 799.27 and 358.18

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Solution

The fourth proportional to 578.90, 799.27 and 358.18 is: 494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.90 : 799.27 = 358.18 : x
  2. Step 2: Convert to fraction form
    578.90/799.27 = 358.18/x
  3. Step 3: Cross multiply
    578.90x = 799.27 × 358.18
  4. Step 4: Simplify right side
    578.90x = 286,279.63
  5. Step 5: Solve for x
    x = 286,279.63/578.90
  6. Step 6: Final answer
    x = 494.52

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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.