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Finding the Fourth Proportional to 636.76, 959.16 and 569.08

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Solution

The fourth proportional to 636.76, 959.16 and 569.08 is: 857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.76 : 959.16 = 569.08 : x
  2. Step 2: Convert to fraction form
    636.76/959.16 = 569.08/x
  3. Step 3: Cross multiply
    636.76x = 959.16 × 569.08
  4. Step 4: Simplify right side
    636.76x = 545,838.77
  5. Step 5: Solve for x
    x = 545,838.77/636.76
  6. Step 6: Final answer
    x = 857.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.