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Finding the Fourth Proportional to 509.73, 703.37 and 377.02

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Solution

The fourth proportional to 509.73, 703.37 and 377.02 is: 520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 703.37 = 377.02 : x
  2. Step 2: Convert to fraction form
    509.73/703.37 = 377.02/x
  3. Step 3: Cross multiply
    509.73x = 703.37 × 377.02
  4. Step 4: Simplify right side
    509.73x = 265,184.56
  5. Step 5: Solve for x
    x = 265,184.56/509.73
  6. Step 6: Final answer
    x = 520.25

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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.