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Finding the Fourth Proportional to 926.56, 1,383.98 and 780.76

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Solution

The fourth proportional to 926.56, 1,383.98 and 780.76 is: 1,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.56 : 1,383.98 = 780.76 : x
  2. Step 2: Convert to fraction form
    926.56/1,383.98 = 780.76/x
  3. Step 3: Cross multiply
    926.56x = 1,383.98 × 780.76
  4. Step 4: Simplify right side
    926.56x = 1,080,556.22
  5. Step 5: Solve for x
    x = 1,080,556.22/926.56
  6. Step 6: Final answer
    x = 1,166.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.