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Finding the Fourth Proportional to 1,052.90, 1,577.07 and 686.58

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Solution

The fourth proportional to 1,052.90, 1,577.07 and 686.58 is: 1,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.90 : 1,577.07 = 686.58 : x
  2. Step 2: Convert to fraction form
    1,052.90/1,577.07 = 686.58/x
  3. Step 3: Cross multiply
    1,052.90x = 1,577.07 × 686.58
  4. Step 4: Simplify right side
    1,052.90x = 1,082,778.81
  5. Step 5: Solve for x
    x = 1,082,778.81/1,052.90
  6. Step 6: Final answer
    x = 1,028.38

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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.