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Finding the Fourth Proportional to 510.40, 762.28 and 429.22

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Solution

The fourth proportional to 510.40, 762.28 and 429.22 is: 641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 762.28 = 429.22 : x
  2. Step 2: Convert to fraction form
    510.40/762.28 = 429.22/x
  3. Step 3: Cross multiply
    510.40x = 762.28 × 429.22
  4. Step 4: Simplify right side
    510.40x = 327,185.82
  5. Step 5: Solve for x
    x = 327,185.82/510.40
  6. Step 6: Final answer
    x = 641.04

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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.