Home / 1,313.26-1,970.21-583.05

Finding the Fourth Proportional to 1,313.26, 1,970.21 and 583.05

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Solution

The fourth proportional to 1,313.26, 1,970.21 and 583.05 is: 874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.26 : 1,970.21 = 583.05 : x
  2. Step 2: Convert to fraction form
    1,313.26/1,970.21 = 583.05/x
  3. Step 3: Cross multiply
    1,313.26x = 1,970.21 × 583.05
  4. Step 4: Simplify right side
    1,313.26x = 1,148,730.94
  5. Step 5: Solve for x
    x = 1,148,730.94/1,313.26
  6. Step 6: Final answer
    x = 874.72

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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.