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Finding the Fourth Proportional to 505.37, 698.12 and 357.75

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Solution

The fourth proportional to 505.37, 698.12 and 357.75 is: 494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.37 : 698.12 = 357.75 : x
  2. Step 2: Convert to fraction form
    505.37/698.12 = 357.75/x
  3. Step 3: Cross multiply
    505.37x = 698.12 × 357.75
  4. Step 4: Simplify right side
    505.37x = 249,752.43
  5. Step 5: Solve for x
    x = 249,752.43/505.37
  6. Step 6: Final answer
    x = 494.20

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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.