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Finding the Fourth Proportional to 505.59, 758.70 and 456.90

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Solution

The fourth proportional to 505.59, 758.70 and 456.90 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 758.70 = 456.90 : x
  2. Step 2: Convert to fraction form
    505.59/758.70 = 456.90/x
  3. Step 3: Cross multiply
    505.59x = 758.70 × 456.90
  4. Step 4: Simplify right side
    505.59x = 346,650.03
  5. Step 5: Solve for x
    x = 346,650.03/505.59
  6. Step 6: Final answer
    x = 685.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.