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Finding the Fourth Proportional to 505.94, 762.16 and 378.50

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Solution

The fourth proportional to 505.94, 762.16 and 378.50 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 762.16 = 378.50 : x
  2. Step 2: Convert to fraction form
    505.94/762.16 = 378.50/x
  3. Step 3: Cross multiply
    505.94x = 762.16 × 378.50
  4. Step 4: Simplify right side
    505.94x = 288,475.67
  5. Step 5: Solve for x
    x = 288,475.67/505.94
  6. Step 6: Final answer
    x = 570.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.