Home / 1,053.07-1,579.43-322.45

Finding the Fourth Proportional to 1,053.07, 1,579.43 and 322.45

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Solution

The fourth proportional to 1,053.07, 1,579.43 and 322.45 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.07 : 1,579.43 = 322.45 : x
  2. Step 2: Convert to fraction form
    1,053.07/1,579.43 = 322.45/x
  3. Step 3: Cross multiply
    1,053.07x = 1,579.43 × 322.45
  4. Step 4: Simplify right side
    1,053.07x = 509,284.06
  5. Step 5: Solve for x
    x = 509,284.06/1,053.07
  6. Step 6: Final answer
    x = 483.62

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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.