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Finding the Fourth Proportional to 1,705.20, 2,353.08 and 959.19

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Solution

The fourth proportional to 1,705.20, 2,353.08 and 959.19 is: 1,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,353.08 = 959.19 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,353.08 = 959.19/x
  3. Step 3: Cross multiply
    1,705.20x = 2,353.08 × 959.19
  4. Step 4: Simplify right side
    1,705.20x = 2,257,050.81
  5. Step 5: Solve for x
    x = 2,257,050.81/1,705.20
  6. Step 6: Final answer
    x = 1,323.63

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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.