Home / 1,313.23-1,970.30-583.32

Finding the Fourth Proportional to 1,313.23, 1,970.30 and 583.32

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Solution

The fourth proportional to 1,313.23, 1,970.30 and 583.32 is: 875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.23 : 1,970.30 = 583.32 : x
  2. Step 2: Convert to fraction form
    1,313.23/1,970.30 = 583.32/x
  3. Step 3: Cross multiply
    1,313.23x = 1,970.30 × 583.32
  4. Step 4: Simplify right side
    1,313.23x = 1,149,315.40
  5. Step 5: Solve for x
    x = 1,149,315.40/1,313.23
  6. Step 6: Final answer
    x = 875.18

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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.