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Finding the Fourth Proportional to 510.91, 700.37 and 501.59

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Solution

The fourth proportional to 510.91, 700.37 and 501.59 is: 687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.91 : 700.37 = 501.59 : x
  2. Step 2: Convert to fraction form
    510.91/700.37 = 501.59/x
  3. Step 3: Cross multiply
    510.91x = 700.37 × 501.59
  4. Step 4: Simplify right side
    510.91x = 351,301.12
  5. Step 5: Solve for x
    x = 351,301.12/510.91
  6. Step 6: Final answer
    x = 687.60

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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.