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Finding the Fourth Proportional to 457.13, 684.79 and 283.39

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Solution

The fourth proportional to 457.13, 684.79 and 283.39 is: 424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.13 : 684.79 = 283.39 : x
  2. Step 2: Convert to fraction form
    457.13/684.79 = 283.39/x
  3. Step 3: Cross multiply
    457.13x = 684.79 × 283.39
  4. Step 4: Simplify right side
    457.13x = 194,060.22
  5. Step 5: Solve for x
    x = 194,060.22/457.13
  6. Step 6: Final answer
    x = 424.52

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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.