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Finding the Fourth Proportional to 510.45, 704.17 and 370.35

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Solution

The fourth proportional to 510.45, 704.17 and 370.35 is: 510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 704.17 = 370.35 : x
  2. Step 2: Convert to fraction form
    510.45/704.17 = 370.35/x
  3. Step 3: Cross multiply
    510.45x = 704.17 × 370.35
  4. Step 4: Simplify right side
    510.45x = 260,786.80
  5. Step 5: Solve for x
    x = 260,786.80/510.45
  6. Step 6: Final answer
    x = 510.89

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1.5x scale

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.