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Finding the Fourth Proportional to 636.90, 957.66 and 586.15

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Solution

The fourth proportional to 636.90, 957.66 and 586.15 is: 881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.90 : 957.66 = 586.15 : x
  2. Step 2: Convert to fraction form
    636.90/957.66 = 586.15/x
  3. Step 3: Cross multiply
    636.90x = 957.66 × 586.15
  4. Step 4: Simplify right side
    636.90x = 561,327.82
  5. Step 5: Solve for x
    x = 561,327.82/636.90
  6. Step 6: Final answer
    x = 881.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.