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Finding the Fourth Proportional to 1,265.80, 1,747.66 and 970.54

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Solution

The fourth proportional to 1,265.80, 1,747.66 and 970.54 is: 1,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.80 : 1,747.66 = 970.54 : x
  2. Step 2: Convert to fraction form
    1,265.80/1,747.66 = 970.54/x
  3. Step 3: Cross multiply
    1,265.80x = 1,747.66 × 970.54
  4. Step 4: Simplify right side
    1,265.80x = 1,696,173.94
  5. Step 5: Solve for x
    x = 1,696,173.94/1,265.80
  6. Step 6: Final answer
    x = 1,340.00

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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.