Home / 1,053.24-1,579.40-322.64

Finding the Fourth Proportional to 1,053.24, 1,579.40 and 322.64

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Solution

The fourth proportional to 1,053.24, 1,579.40 and 322.64 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.24 : 1,579.40 = 322.64 : x
  2. Step 2: Convert to fraction form
    1,053.24/1,579.40 = 322.64/x
  3. Step 3: Cross multiply
    1,053.24x = 1,579.40 × 322.64
  4. Step 4: Simplify right side
    1,053.24x = 509,577.62
  5. Step 5: Solve for x
    x = 509,577.62/1,053.24
  6. Step 6: Final answer
    x = 483.82

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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.