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Finding the Fourth Proportional to 1,053.77, 1,580.65 and 323.35

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Solution

The fourth proportional to 1,053.77, 1,580.65 and 323.35 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.77 : 1,580.65 = 323.35 : x
  2. Step 2: Convert to fraction form
    1,053.77/1,580.65 = 323.35/x
  3. Step 3: Cross multiply
    1,053.77x = 1,580.65 × 323.35
  4. Step 4: Simplify right side
    1,053.77x = 511,103.18
  5. Step 5: Solve for x
    x = 511,103.18/1,053.77
  6. Step 6: Final answer
    x = 485.02

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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.