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Finding the Fourth Proportional to 505.85, 700.88 and 494.91

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Solution

The fourth proportional to 505.85, 700.88 and 494.91 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 700.88 = 494.91 : x
  2. Step 2: Convert to fraction form
    505.85/700.88 = 494.91/x
  3. Step 3: Cross multiply
    505.85x = 700.88 × 494.91
  4. Step 4: Simplify right side
    505.85x = 346,870.05
  5. Step 5: Solve for x
    x = 346,870.05/505.85
  6. Step 6: Final answer
    x = 685.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.