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Finding the Fourth Proportional to 510.80, 701.15 and 454.30

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Solution

The fourth proportional to 510.80, 701.15 and 454.30 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 701.15 = 454.30 : x
  2. Step 2: Convert to fraction form
    510.80/701.15 = 454.30/x
  3. Step 3: Cross multiply
    510.80x = 701.15 × 454.30
  4. Step 4: Simplify right side
    510.80x = 318,528.42
  5. Step 5: Solve for x
    x = 318,528.42/510.80
  6. Step 6: Final answer
    x = 623.59

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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.