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Finding the Fourth Proportional to 1,390.86, 1,920.33 and 913.14

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Solution

The fourth proportional to 1,390.86, 1,920.33 and 913.14 is: 1,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.86 : 1,920.33 = 913.14 : x
  2. Step 2: Convert to fraction form
    1,390.86/1,920.33 = 913.14/x
  3. Step 3: Cross multiply
    1,390.86x = 1,920.33 × 913.14
  4. Step 4: Simplify right side
    1,390.86x = 1,753,530.14
  5. Step 5: Solve for x
    x = 1,753,530.14/1,390.86
  6. Step 6: Final answer
    x = 1,260.75

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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.