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Finding the Fourth Proportional to 464.03, 690.74 and 457.10

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Solution

The fourth proportional to 464.03, 690.74 and 457.10 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.03 : 690.74 = 457.10 : x
  2. Step 2: Convert to fraction form
    464.03/690.74 = 457.10/x
  3. Step 3: Cross multiply
    464.03x = 690.74 × 457.10
  4. Step 4: Simplify right side
    464.03x = 315,736.70
  5. Step 5: Solve for x
    x = 315,736.70/464.03
  6. Step 6: Final answer
    x = 680.43

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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.