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Finding the Fourth Proportional to 1,083.78, 1,495.62 and 586.43

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Solution

The fourth proportional to 1,083.78, 1,495.62 and 586.43 is: 809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.78 : 1,495.62 = 586.43 : x
  2. Step 2: Convert to fraction form
    1,083.78/1,495.62 = 586.43/x
  3. Step 3: Cross multiply
    1,083.78x = 1,495.62 × 586.43
  4. Step 4: Simplify right side
    1,083.78x = 877,068.96
  5. Step 5: Solve for x
    x = 877,068.96/1,083.78
  6. Step 6: Final answer
    x = 809.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.