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Finding the Fourth Proportional to 511.58, 701.38 and 502.35

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Solution

The fourth proportional to 511.58, 701.38 and 502.35 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 701.38 = 502.35 : x
  2. Step 2: Convert to fraction form
    511.58/701.38 = 502.35/x
  3. Step 3: Cross multiply
    511.58x = 701.38 × 502.35
  4. Step 4: Simplify right side
    511.58x = 352,336.99
  5. Step 5: Solve for x
    x = 352,336.99/511.58
  6. Step 6: Final answer
    x = 688.73

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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.