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Finding the Fourth Proportional to 510.45, 767.70 and 457.80

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Solution

The fourth proportional to 510.45, 767.70 and 457.80 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 767.70 = 457.80 : x
  2. Step 2: Convert to fraction form
    510.45/767.70 = 457.80/x
  3. Step 3: Cross multiply
    510.45x = 767.70 × 457.80
  4. Step 4: Simplify right side
    510.45x = 351,453.06
  5. Step 5: Solve for x
    x = 351,453.06/510.45
  6. Step 6: Final answer
    x = 688.52

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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.