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Finding the Fourth Proportional to 953.97, 1,315.08 and 659.94

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Solution

The fourth proportional to 953.97, 1,315.08 and 659.94 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.97 : 1,315.08 = 659.94 : x
  2. Step 2: Convert to fraction form
    953.97/1,315.08 = 659.94/x
  3. Step 3: Cross multiply
    953.97x = 1,315.08 × 659.94
  4. Step 4: Simplify right side
    953.97x = 867,873.90
  5. Step 5: Solve for x
    x = 867,873.90/953.97
  6. Step 6: Final answer
    x = 909.75

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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.