Home / 1,297.12-1,948.62-750.64

Finding the Fourth Proportional to 1,297.12, 1,948.62 and 750.64

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Solution

The fourth proportional to 1,297.12, 1,948.62 and 750.64 is: 1,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.12 : 1,948.62 = 750.64 : x
  2. Step 2: Convert to fraction form
    1,297.12/1,948.62 = 750.64/x
  3. Step 3: Cross multiply
    1,297.12x = 1,948.62 × 750.64
  4. Step 4: Simplify right side
    1,297.12x = 1,462,712.12
  5. Step 5: Solve for x
    x = 1,462,712.12/1,297.12
  6. Step 6: Final answer
    x = 1,127.66

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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.