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Finding the Fourth Proportional to 457.08, 684.94 and 340.98

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Solution

The fourth proportional to 457.08, 684.94 and 340.98 is: 510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.08 : 684.94 = 340.98 : x
  2. Step 2: Convert to fraction form
    457.08/684.94 = 340.98/x
  3. Step 3: Cross multiply
    457.08x = 684.94 × 340.98
  4. Step 4: Simplify right side
    457.08x = 233,550.84
  5. Step 5: Solve for x
    x = 233,550.84/457.08
  6. Step 6: Final answer
    x = 510.96

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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.