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Finding the Fourth Proportional to 846.66, 1,262.54 and 779.34

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Solution

The fourth proportional to 846.66, 1,262.54 and 779.34 is: 1,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.66 : 1,262.54 = 779.34 : x
  2. Step 2: Convert to fraction form
    846.66/1,262.54 = 779.34/x
  3. Step 3: Cross multiply
    846.66x = 1,262.54 × 779.34
  4. Step 4: Simplify right side
    846.66x = 983,943.12
  5. Step 5: Solve for x
    x = 983,943.12/846.66
  6. Step 6: Final answer
    x = 1,162.15

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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.