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Finding the Fourth Proportional to 1,245.97, 1,870.17 and 920.35

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Solution

The fourth proportional to 1,245.97, 1,870.17 and 920.35 is: 1,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.97 : 1,870.17 = 920.35 : x
  2. Step 2: Convert to fraction form
    1,245.97/1,870.17 = 920.35/x
  3. Step 3: Cross multiply
    1,245.97x = 1,870.17 × 920.35
  4. Step 4: Simplify right side
    1,245.97x = 1,721,210.96
  5. Step 5: Solve for x
    x = 1,721,210.96/1,245.97
  6. Step 6: Final answer
    x = 1,381.42

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1.5x scale

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.