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Finding the Fourth Proportional to 1,265.78, 1,748.43 and 970.53

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Solution

The fourth proportional to 1,265.78, 1,748.43 and 970.53 is: 1,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.78 : 1,748.43 = 970.53 : x
  2. Step 2: Convert to fraction form
    1,265.78/1,748.43 = 970.53/x
  3. Step 3: Cross multiply
    1,265.78x = 1,748.43 × 970.53
  4. Step 4: Simplify right side
    1,265.78x = 1,696,903.77
  5. Step 5: Solve for x
    x = 1,696,903.77/1,265.78
  6. Step 6: Final answer
    x = 1,340.60

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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.