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Finding the Fourth Proportional to 510.21, 704.48 and 412.41

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Solution

The fourth proportional to 510.21, 704.48 and 412.41 is: 569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 704.48 = 412.41 : x
  2. Step 2: Convert to fraction form
    510.21/704.48 = 412.41/x
  3. Step 3: Cross multiply
    510.21x = 704.48 × 412.41
  4. Step 4: Simplify right side
    510.21x = 290,534.60
  5. Step 5: Solve for x
    x = 290,534.60/510.21
  6. Step 6: Final answer
    x = 569.44

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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.