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Finding the Fourth Proportional to 1,394.40, 1,924.20 and 805.13

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Solution

The fourth proportional to 1,394.40, 1,924.20 and 805.13 is: 1,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.40 : 1,924.20 = 805.13 : x
  2. Step 2: Convert to fraction form
    1,394.40/1,924.20 = 805.13/x
  3. Step 3: Cross multiply
    1,394.40x = 1,924.20 × 805.13
  4. Step 4: Simplify right side
    1,394.40x = 1,549,221.53
  5. Step 5: Solve for x
    x = 1,549,221.53/1,394.40
  6. Step 6: Final answer
    x = 1,111.03

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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.