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Finding the Fourth Proportional to 510.75, 763.13 and 371.25

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Solution

The fourth proportional to 510.75, 763.13 and 371.25 is: 554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 763.13 = 371.25 : x
  2. Step 2: Convert to fraction form
    510.75/763.13 = 371.25/x
  3. Step 3: Cross multiply
    510.75x = 763.13 × 371.25
  4. Step 4: Simplify right side
    510.75x = 283,310.16
  5. Step 5: Solve for x
    x = 283,310.16/510.75
  6. Step 6: Final answer
    x = 554.69

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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.