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Finding the Fourth Proportional to 2,287.14, 3,430.72 and 555.77

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Solution

The fourth proportional to 2,287.14, 3,430.72 and 555.77 is: 833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.14 : 3,430.72 = 555.77 : x
  2. Step 2: Convert to fraction form
    2,287.14/3,430.72 = 555.77/x
  3. Step 3: Cross multiply
    2,287.14x = 3,430.72 × 555.77
  4. Step 4: Simplify right side
    2,287.14x = 1,906,674.10
  5. Step 5: Solve for x
    x = 1,906,674.10/2,287.14
  6. Step 6: Final answer
    x = 833.65

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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.