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Finding the Fourth Proportional to 510.67, 700.97 and 454.17

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Solution

The fourth proportional to 510.67, 700.97 and 454.17 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.67 : 700.97 = 454.17 : x
  2. Step 2: Convert to fraction form
    510.67/700.97 = 454.17/x
  3. Step 3: Cross multiply
    510.67x = 700.97 × 454.17
  4. Step 4: Simplify right side
    510.67x = 318,359.54
  5. Step 5: Solve for x
    x = 318,359.54/510.67
  6. Step 6: Final answer
    x = 623.42

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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.