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Finding the Fourth Proportional to 1,068.09, 1,474.64 and 818.94

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Solution

The fourth proportional to 1,068.09, 1,474.64 and 818.94 is: 1,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.09 : 1,474.64 = 818.94 : x
  2. Step 2: Convert to fraction form
    1,068.09/1,474.64 = 818.94/x
  3. Step 3: Cross multiply
    1,068.09x = 1,474.64 × 818.94
  4. Step 4: Simplify right side
    1,068.09x = 1,207,637.59
  5. Step 5: Solve for x
    x = 1,207,637.59/1,068.09
  6. Step 6: Final answer
    x = 1,130.65

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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.