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Finding the Fourth Proportional to 1,274.57, 1,758.59 and 777.18

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Solution

The fourth proportional to 1,274.57, 1,758.59 and 777.18 is: 1,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.57 : 1,758.59 = 777.18 : x
  2. Step 2: Convert to fraction form
    1,274.57/1,758.59 = 777.18/x
  3. Step 3: Cross multiply
    1,274.57x = 1,758.59 × 777.18
  4. Step 4: Simplify right side
    1,274.57x = 1,366,740.98
  5. Step 5: Solve for x
    x = 1,366,740.98/1,274.57
  6. Step 6: Final answer
    x = 1,072.32

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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.