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Finding the Fourth Proportional to 510.24, 704.05 and 286.17

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Solution

The fourth proportional to 510.24, 704.05 and 286.17 is: 394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 704.05 = 286.17 : x
  2. Step 2: Convert to fraction form
    510.24/704.05 = 286.17/x
  3. Step 3: Cross multiply
    510.24x = 704.05 × 286.17
  4. Step 4: Simplify right side
    510.24x = 201,477.99
  5. Step 5: Solve for x
    x = 201,477.99/510.24
  6. Step 6: Final answer
    x = 394.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.