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Finding the Fourth Proportional to 2,302.83, 3,454.23 and 571.44

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Solution

The fourth proportional to 2,302.83, 3,454.23 and 571.44 is: 857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.83 : 3,454.23 = 571.44 : x
  2. Step 2: Convert to fraction form
    2,302.83/3,454.23 = 571.44/x
  3. Step 3: Cross multiply
    2,302.83x = 3,454.23 × 571.44
  4. Step 4: Simplify right side
    2,302.83x = 1,973,885.19
  5. Step 5: Solve for x
    x = 1,973,885.19/2,302.83
  6. Step 6: Final answer
    x = 857.16

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1.5x scale

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.