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Finding the Fourth Proportional to 509.93, 763.86 and 336.16

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Solution

The fourth proportional to 509.93, 763.86 and 336.16 is: 503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 763.86 = 336.16 : x
  2. Step 2: Convert to fraction form
    509.93/763.86 = 336.16/x
  3. Step 3: Cross multiply
    509.93x = 763.86 × 336.16
  4. Step 4: Simplify right side
    509.93x = 256,781.62
  5. Step 5: Solve for x
    x = 256,781.62/509.93
  6. Step 6: Final answer
    x = 503.57

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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.