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Finding the Fourth Proportional to 457.39, 630.84 and 309.76

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Solution

The fourth proportional to 457.39, 630.84 and 309.76 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.39 : 630.84 = 309.76 : x
  2. Step 2: Convert to fraction form
    457.39/630.84 = 309.76/x
  3. Step 3: Cross multiply
    457.39x = 630.84 × 309.76
  4. Step 4: Simplify right side
    457.39x = 195,409.00
  5. Step 5: Solve for x
    x = 195,409.00/457.39
  6. Step 6: Final answer
    x = 427.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.