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Finding the Fourth Proportional to 510.98, 762.15 and 495.60

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Solution

The fourth proportional to 510.98, 762.15 and 495.60 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 762.15 = 495.60 : x
  2. Step 2: Convert to fraction form
    510.98/762.15 = 495.60/x
  3. Step 3: Cross multiply
    510.98x = 762.15 × 495.60
  4. Step 4: Simplify right side
    510.98x = 377,721.54
  5. Step 5: Solve for x
    x = 377,721.54/510.98
  6. Step 6: Final answer
    x = 739.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.