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Finding the Fourth Proportional to 1,278.76, 1,763.60 and 1,030

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Solution

The fourth proportional to 1,278.76, 1,763.60 and 1,030 is: 1,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.76 : 1,763.60 = 1,030 : x
  2. Step 2: Convert to fraction form
    1,278.76/1,763.60 = 1,030/x
  3. Step 3: Cross multiply
    1,278.76x = 1,763.60 × 1,030
  4. Step 4: Simplify right side
    1,278.76x = 1,816,508
  5. Step 5: Solve for x
    x = 1,816,508/1,278.76
  6. Step 6: Final answer
    x = 1,420.52

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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.