Home / 1,580.23-2,368.90-895.75

Finding the Fourth Proportional to 1,580.23, 2,368.90 and 895.75

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Solution

The fourth proportional to 1,580.23, 2,368.90 and 895.75 is: 1,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.23 : 2,368.90 = 895.75 : x
  2. Step 2: Convert to fraction form
    1,580.23/2,368.90 = 895.75/x
  3. Step 3: Cross multiply
    1,580.23x = 2,368.90 × 895.75
  4. Step 4: Simplify right side
    1,580.23x = 2,121,942.18
  5. Step 5: Solve for x
    x = 2,121,942.18/1,580.23
  6. Step 6: Final answer
    x = 1,342.81

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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.