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Finding the Fourth Proportional to 457.78, 683.35 and 423.49

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Solution

The fourth proportional to 457.78, 683.35 and 423.49 is: 632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 683.35 = 423.49 : x
  2. Step 2: Convert to fraction form
    457.78/683.35 = 423.49/x
  3. Step 3: Cross multiply
    457.78x = 683.35 × 423.49
  4. Step 4: Simplify right side
    457.78x = 289,391.89
  5. Step 5: Solve for x
    x = 289,391.89/457.78
  6. Step 6: Final answer
    x = 632.16

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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.