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Finding the Fourth Proportional to 457.63, 683.25 and 389.18

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Solution

The fourth proportional to 457.63, 683.25 and 389.18 is: 581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.63 : 683.25 = 389.18 : x
  2. Step 2: Convert to fraction form
    457.63/683.25 = 389.18/x
  3. Step 3: Cross multiply
    457.63x = 683.25 × 389.18
  4. Step 4: Simplify right side
    457.63x = 265,907.24
  5. Step 5: Solve for x
    x = 265,907.24/457.63
  6. Step 6: Final answer
    x = 581.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.