Home / 1,322.04-1,983.20-456.24

Finding the Fourth Proportional to 1,322.04, 1,983.20 and 456.24

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Solution

The fourth proportional to 1,322.04, 1,983.20 and 456.24 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.04 : 1,983.20 = 456.24 : x
  2. Step 2: Convert to fraction form
    1,322.04/1,983.20 = 456.24/x
  3. Step 3: Cross multiply
    1,322.04x = 1,983.20 × 456.24
  4. Step 4: Simplify right side
    1,322.04x = 904,815.17
  5. Step 5: Solve for x
    x = 904,815.17/1,322.04
  6. Step 6: Final answer
    x = 684.41

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1.5x scale

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.