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Finding the Fourth Proportional to 1,859.43, 2,788.68 and 542.83

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Solution

The fourth proportional to 1,859.43, 2,788.68 and 542.83 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.43 : 2,788.68 = 542.83 : x
  2. Step 2: Convert to fraction form
    1,859.43/2,788.68 = 542.83/x
  3. Step 3: Cross multiply
    1,859.43x = 2,788.68 × 542.83
  4. Step 4: Simplify right side
    1,859.43x = 1,513,779.16
  5. Step 5: Solve for x
    x = 1,513,779.16/1,859.43
  6. Step 6: Final answer
    x = 814.11

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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.