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Finding the Fourth Proportional to 510.84, 764.84 and 304.70

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Solution

The fourth proportional to 510.84, 764.84 and 304.70 is: 456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 764.84 = 304.70 : x
  2. Step 2: Convert to fraction form
    510.84/764.84 = 304.70/x
  3. Step 3: Cross multiply
    510.84x = 764.84 × 304.70
  4. Step 4: Simplify right side
    510.84x = 233,043.69
  5. Step 5: Solve for x
    x = 233,043.69/510.84
  6. Step 6: Final answer
    x = 456.20

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Similar ratio
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1.5x scale

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.