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Finding the Fourth Proportional to 956.66, 1,320.71 and 583.72

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Solution

The fourth proportional to 956.66, 1,320.71 and 583.72 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.66 : 1,320.71 = 583.72 : x
  2. Step 2: Convert to fraction form
    956.66/1,320.71 = 583.72/x
  3. Step 3: Cross multiply
    956.66x = 1,320.71 × 583.72
  4. Step 4: Simplify right side
    956.66x = 770,918.62
  5. Step 5: Solve for x
    x = 770,918.62/956.66
  6. Step 6: Final answer
    x = 805.85

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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.