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Finding the Fourth Proportional to 954.69, 1,315.85 and 796.74

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Solution

The fourth proportional to 954.69, 1,315.85 and 796.74 is: 1,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.69 : 1,315.85 = 796.74 : x
  2. Step 2: Convert to fraction form
    954.69/1,315.85 = 796.74/x
  3. Step 3: Cross multiply
    954.69x = 1,315.85 × 796.74
  4. Step 4: Simplify right side
    954.69x = 1,048,381.41
  5. Step 5: Solve for x
    x = 1,048,381.41/954.69
  6. Step 6: Final answer
    x = 1,098.14

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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.