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Finding the Fourth Proportional to 1,400.99, 1,930.99 and 958.12

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Solution

The fourth proportional to 1,400.99, 1,930.99 and 958.12 is: 1,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.99 : 1,930.99 = 958.12 : x
  2. Step 2: Convert to fraction form
    1,400.99/1,930.99 = 958.12/x
  3. Step 3: Cross multiply
    1,400.99x = 1,930.99 × 958.12
  4. Step 4: Simplify right side
    1,400.99x = 1,850,120.14
  5. Step 5: Solve for x
    x = 1,850,120.14/1,400.99
  6. Step 6: Final answer
    x = 1,320.58

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1.5x scale

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.