Home / 1,570.25-2,355.85-946.23

Finding the Fourth Proportional to 1,570.25, 2,355.85 and 946.23

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Solution

The fourth proportional to 1,570.25, 2,355.85 and 946.23 is: 1,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.25 : 2,355.85 = 946.23 : x
  2. Step 2: Convert to fraction form
    1,570.25/2,355.85 = 946.23/x
  3. Step 3: Cross multiply
    1,570.25x = 2,355.85 × 946.23
  4. Step 4: Simplify right side
    1,570.25x = 2,229,168.29
  5. Step 5: Solve for x
    x = 2,229,168.29/1,570.25
  6. Step 6: Final answer
    x = 1,419.62

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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.