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Finding the Fourth Proportional to 912.46, 1,368.39 and 776.98

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Solution

The fourth proportional to 912.46, 1,368.39 and 776.98 is: 1,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.46 : 1,368.39 = 776.98 : x
  2. Step 2: Convert to fraction form
    912.46/1,368.39 = 776.98/x
  3. Step 3: Cross multiply
    912.46x = 1,368.39 × 776.98
  4. Step 4: Simplify right side
    912.46x = 1,063,211.66
  5. Step 5: Solve for x
    x = 1,063,211.66/912.46
  6. Step 6: Final answer
    x = 1,165.21

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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.