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Finding the Fourth Proportional to 1,314.42, 1,813.95 and 754.98

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Solution

The fourth proportional to 1,314.42, 1,813.95 and 754.98 is: 1,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,813.95 = 754.98 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,813.95 = 754.98/x
  3. Step 3: Cross multiply
    1,314.42x = 1,813.95 × 754.98
  4. Step 4: Simplify right side
    1,314.42x = 1,369,495.97
  5. Step 5: Solve for x
    x = 1,369,495.97/1,314.42
  6. Step 6: Final answer
    x = 1,041.90

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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.