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Finding the Fourth Proportional to 895.94, 1,236.77 and 771.11

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Solution

The fourth proportional to 895.94, 1,236.77 and 771.11 is: 1,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.94 : 1,236.77 = 771.11 : x
  2. Step 2: Convert to fraction form
    895.94/1,236.77 = 771.11/x
  3. Step 3: Cross multiply
    895.94x = 1,236.77 × 771.11
  4. Step 4: Simplify right side
    895.94x = 953,685.71
  5. Step 5: Solve for x
    x = 953,685.71/895.94
  6. Step 6: Final answer
    x = 1,064.45

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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.