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Finding the Fourth Proportional to 510.42, 768.41 and 457.50

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Solution

The fourth proportional to 510.42, 768.41 and 457.50 is: 688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 768.41 = 457.50 : x
  2. Step 2: Convert to fraction form
    510.42/768.41 = 457.50/x
  3. Step 3: Cross multiply
    510.42x = 768.41 × 457.50
  4. Step 4: Simplify right side
    510.42x = 351,545.29
  5. Step 5: Solve for x
    x = 351,545.29/510.42
  6. Step 6: Final answer
    x = 688.74

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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.