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Finding the Fourth Proportional to 1,053.28, 1,580.19 and 322.86

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Solution

The fourth proportional to 1,053.28, 1,580.19 and 322.86 is: 484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.28 : 1,580.19 = 322.86 : x
  2. Step 2: Convert to fraction form
    1,053.28/1,580.19 = 322.86/x
  3. Step 3: Cross multiply
    1,053.28x = 1,580.19 × 322.86
  4. Step 4: Simplify right side
    1,053.28x = 510,180.14
  5. Step 5: Solve for x
    x = 510,180.14/1,053.28
  6. Step 6: Final answer
    x = 484.37

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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.