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Finding the Fourth Proportional to 509.50, 764.29 and 373.41

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Solution

The fourth proportional to 509.50, 764.29 and 373.41 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 764.29 = 373.41 : x
  2. Step 2: Convert to fraction form
    509.50/764.29 = 373.41/x
  3. Step 3: Cross multiply
    509.50x = 764.29 × 373.41
  4. Step 4: Simplify right side
    509.50x = 285,393.53
  5. Step 5: Solve for x
    x = 285,393.53/509.50
  6. Step 6: Final answer
    x = 560.14

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1.5x scale

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.