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Finding the Fourth Proportional to 506, 754.90 and 457.40

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Solution

The fourth proportional to 506, 754.90 and 457.40 is: 682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 754.90 = 457.40 : x
  2. Step 2: Convert to fraction form
    506/754.90 = 457.40/x
  3. Step 3: Cross multiply
    506x = 754.90 × 457.40
  4. Step 4: Simplify right side
    506x = 345,291.26
  5. Step 5: Solve for x
    x = 345,291.26/506
  6. Step 6: Final answer
    x = 682.39

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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.