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Finding the Fourth Proportional to 509.48, 767.98 and 479.75

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Solution

The fourth proportional to 509.48, 767.98 and 479.75 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 767.98 = 479.75 : x
  2. Step 2: Convert to fraction form
    509.48/767.98 = 479.75/x
  3. Step 3: Cross multiply
    509.48x = 767.98 × 479.75
  4. Step 4: Simplify right side
    509.48x = 368,438.41
  5. Step 5: Solve for x
    x = 368,438.41/509.48
  6. Step 6: Final answer
    x = 723.17

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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.