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Finding the Fourth Proportional to 457.16, 684.28 and 319.40

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Solution

The fourth proportional to 457.16, 684.28 and 319.40 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.16 : 684.28 = 319.40 : x
  2. Step 2: Convert to fraction form
    457.16/684.28 = 319.40/x
  3. Step 3: Cross multiply
    457.16x = 684.28 × 319.40
  4. Step 4: Simplify right side
    457.16x = 218,559.03
  5. Step 5: Solve for x
    x = 218,559.03/457.16
  6. Step 6: Final answer
    x = 478.08

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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.