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Finding the Fourth Proportional to 509.32, 758.93 and 488.68

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Solution

The fourth proportional to 509.32, 758.93 and 488.68 is: 728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 758.93 = 488.68 : x
  2. Step 2: Convert to fraction form
    509.32/758.93 = 488.68/x
  3. Step 3: Cross multiply
    509.32x = 758.93 × 488.68
  4. Step 4: Simplify right side
    509.32x = 370,873.91
  5. Step 5: Solve for x
    x = 370,873.91/509.32
  6. Step 6: Final answer
    x = 728.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.