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Finding the Fourth Proportional to 510.75, 701.78 and 417.24

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Solution

The fourth proportional to 510.75, 701.78 and 417.24 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 701.78 = 417.24 : x
  2. Step 2: Convert to fraction form
    510.75/701.78 = 417.24/x
  3. Step 3: Cross multiply
    510.75x = 701.78 × 417.24
  4. Step 4: Simplify right side
    510.75x = 292,808.60
  5. Step 5: Solve for x
    x = 292,808.60/510.75
  6. Step 6: Final answer
    x = 573.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.