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Finding the Fourth Proportional to 457.21, 684.50 and 283.35

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Solution

The fourth proportional to 457.21, 684.50 and 283.35 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.21 : 684.50 = 283.35 : x
  2. Step 2: Convert to fraction form
    457.21/684.50 = 283.35/x
  3. Step 3: Cross multiply
    457.21x = 684.50 × 283.35
  4. Step 4: Simplify right side
    457.21x = 193,954.23
  5. Step 5: Solve for x
    x = 193,954.23/457.21
  6. Step 6: Final answer
    x = 424.21

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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.