Home / 1,570.20-2,356.23-596.40

Finding the Fourth Proportional to 1,570.20, 2,356.23 and 596.40

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Solution

The fourth proportional to 1,570.20, 2,356.23 and 596.40 is: 894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.20 : 2,356.23 = 596.40 : x
  2. Step 2: Convert to fraction form
    1,570.20/2,356.23 = 596.40/x
  3. Step 3: Cross multiply
    1,570.20x = 2,356.23 × 596.40
  4. Step 4: Simplify right side
    1,570.20x = 1,405,255.57
  5. Step 5: Solve for x
    x = 1,405,255.57/1,570.20
  6. Step 6: Final answer
    x = 894.95

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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.