Home / 1,570.23-2,354.42-596.40

Finding the Fourth Proportional to 1,570.23, 2,354.42 and 596.40

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Solution

The fourth proportional to 1,570.23, 2,354.42 and 596.40 is: 894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.23 : 2,354.42 = 596.40 : x
  2. Step 2: Convert to fraction form
    1,570.23/2,354.42 = 596.40/x
  3. Step 3: Cross multiply
    1,570.23x = 2,354.42 × 596.40
  4. Step 4: Simplify right side
    1,570.23x = 1,404,177.58
  5. Step 5: Solve for x
    x = 1,404,177.58/1,570.23
  6. Step 6: Final answer
    x = 894.25

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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.