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Finding the Fourth Proportional to 1,053.08, 1,580.31 and 403.82

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Solution

The fourth proportional to 1,053.08, 1,580.31 and 403.82 is: 605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.08 : 1,580.31 = 403.82 : x
  2. Step 2: Convert to fraction form
    1,053.08/1,580.31 = 403.82/x
  3. Step 3: Cross multiply
    1,053.08x = 1,580.31 × 403.82
  4. Step 4: Simplify right side
    1,053.08x = 638,152.88
  5. Step 5: Solve for x
    x = 638,152.88/1,053.08
  6. Step 6: Final answer
    x = 605.99

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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.