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Finding the Fourth Proportional to 696.21, 959.45 and 509.76

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Solution

The fourth proportional to 696.21, 959.45 and 509.76 is: 702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.21 : 959.45 = 509.76 : x
  2. Step 2: Convert to fraction form
    696.21/959.45 = 509.76/x
  3. Step 3: Cross multiply
    696.21x = 959.45 × 509.76
  4. Step 4: Simplify right side
    696.21x = 489,089.23
  5. Step 5: Solve for x
    x = 489,089.23/696.21
  6. Step 6: Final answer
    x = 702.50

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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.