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Finding the Fourth Proportional to 457.11, 682.51 and 392.01

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Solution

The fourth proportional to 457.11, 682.51 and 392.01 is: 585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.11 : 682.51 = 392.01 : x
  2. Step 2: Convert to fraction form
    457.11/682.51 = 392.01/x
  3. Step 3: Cross multiply
    457.11x = 682.51 × 392.01
  4. Step 4: Simplify right side
    457.11x = 267,547.94
  5. Step 5: Solve for x
    x = 267,547.94/457.11
  6. Step 6: Final answer
    x = 585.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.