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Finding the Fourth Proportional to 696.35, 959.94 and 509.51

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Solution

The fourth proportional to 696.35, 959.94 and 509.51 is: 702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.35 : 959.94 = 509.51 : x
  2. Step 2: Convert to fraction form
    696.35/959.94 = 509.51/x
  3. Step 3: Cross multiply
    696.35x = 959.94 × 509.51
  4. Step 4: Simplify right side
    696.35x = 489,094.23
  5. Step 5: Solve for x
    x = 489,094.23/696.35
  6. Step 6: Final answer
    x = 702.37

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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.