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Finding the Fourth Proportional to 457.79, 683.35 and 423.95

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Solution

The fourth proportional to 457.79, 683.35 and 423.95 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.79 : 683.35 = 423.95 : x
  2. Step 2: Convert to fraction form
    457.79/683.35 = 423.95/x
  3. Step 3: Cross multiply
    457.79x = 683.35 × 423.95
  4. Step 4: Simplify right side
    457.79x = 289,701.76
  5. Step 5: Solve for x
    x = 289,701.76/457.79
  6. Step 6: Final answer
    x = 632.83

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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.