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Finding the Fourth Proportional to 1,270.70, 1,903.71 and 1,066.58

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Solution

The fourth proportional to 1,270.70, 1,903.71 and 1,066.58 is: 1,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.70 : 1,903.71 = 1,066.58 : x
  2. Step 2: Convert to fraction form
    1,270.70/1,903.71 = 1,066.58/x
  3. Step 3: Cross multiply
    1,270.70x = 1,903.71 × 1,066.58
  4. Step 4: Simplify right side
    1,270.70x = 2,030,459.01
  5. Step 5: Solve for x
    x = 2,030,459.01/1,270.70
  6. Step 6: Final answer
    x = 1,597.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.