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Finding the Fourth Proportional to 846.94, 1,276.05 and 764.77

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Solution

The fourth proportional to 846.94, 1,276.05 and 764.77 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.94 : 1,276.05 = 764.77 : x
  2. Step 2: Convert to fraction form
    846.94/1,276.05 = 764.77/x
  3. Step 3: Cross multiply
    846.94x = 1,276.05 × 764.77
  4. Step 4: Simplify right side
    846.94x = 975,883.24
  5. Step 5: Solve for x
    x = 975,883.24/846.94
  6. Step 6: Final answer
    x = 1,152.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.