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Finding the Fourth Proportional to 507.57, 760.86 and 288.30

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Solution

The fourth proportional to 507.57, 760.86 and 288.30 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 760.86 = 288.30 : x
  2. Step 2: Convert to fraction form
    507.57/760.86 = 288.30/x
  3. Step 3: Cross multiply
    507.57x = 760.86 × 288.30
  4. Step 4: Simplify right side
    507.57x = 219,355.94
  5. Step 5: Solve for x
    x = 219,355.94/507.57
  6. Step 6: Final answer
    x = 432.17

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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.