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Finding the Fourth Proportional to 510.65, 765.74 and 305.32

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Solution

The fourth proportional to 510.65, 765.74 and 305.32 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.65 : 765.74 = 305.32 : x
  2. Step 2: Convert to fraction form
    510.65/765.74 = 305.32/x
  3. Step 3: Cross multiply
    510.65x = 765.74 × 305.32
  4. Step 4: Simplify right side
    510.65x = 233,794.59
  5. Step 5: Solve for x
    x = 233,794.59/510.65
  6. Step 6: Final answer
    x = 457.83

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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.