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Finding the Fourth Proportional to 696.17, 959.93 and 569.74

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Solution

The fourth proportional to 696.17, 959.93 and 569.74 is: 785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.17 : 959.93 = 569.74 : x
  2. Step 2: Convert to fraction form
    696.17/959.93 = 569.74/x
  3. Step 3: Cross multiply
    696.17x = 959.93 × 569.74
  4. Step 4: Simplify right side
    696.17x = 546,910.52
  5. Step 5: Solve for x
    x = 546,910.52/696.17
  6. Step 6: Final answer
    x = 785.60

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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.