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Finding the Fourth Proportional to 510.59, 700.38 and 506.22

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Solution

The fourth proportional to 510.59, 700.38 and 506.22 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 700.38 = 506.22 : x
  2. Step 2: Convert to fraction form
    510.59/700.38 = 506.22/x
  3. Step 3: Cross multiply
    510.59x = 700.38 × 506.22
  4. Step 4: Simplify right side
    510.59x = 354,543.74
  5. Step 5: Solve for x
    x = 354,543.74/510.59
  6. Step 6: Final answer
    x = 694.38

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1.5x scale

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.