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Finding the Fourth Proportional to 1,776.83, 2,668.04 and 956.70

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Solution

The fourth proportional to 1,776.83, 2,668.04 and 956.70 is: 1,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.83 : 2,668.04 = 956.70 : x
  2. Step 2: Convert to fraction form
    1,776.83/2,668.04 = 956.70/x
  3. Step 3: Cross multiply
    1,776.83x = 2,668.04 × 956.70
  4. Step 4: Simplify right side
    1,776.83x = 2,552,509.08
  5. Step 5: Solve for x
    x = 2,552,509.08/1,776.83
  6. Step 6: Final answer
    x = 1,436.56

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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.