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Finding the Fourth Proportional to 1,862.16, 2,793.29 and 563.63

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Solution

The fourth proportional to 1,862.16, 2,793.29 and 563.63 is: 845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.16 : 2,793.29 = 563.63 : x
  2. Step 2: Convert to fraction form
    1,862.16/2,793.29 = 563.63/x
  3. Step 3: Cross multiply
    1,862.16x = 2,793.29 × 563.63
  4. Step 4: Simplify right side
    1,862.16x = 1,574,365.26
  5. Step 5: Solve for x
    x = 1,574,365.26/1,862.16
  6. Step 6: Final answer
    x = 845.45

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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.