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Finding the Fourth Proportional to 506.70, 760.41 and 457.74

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Solution

The fourth proportional to 506.70, 760.41 and 457.74 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 760.41 = 457.74 : x
  2. Step 2: Convert to fraction form
    506.70/760.41 = 457.74/x
  3. Step 3: Cross multiply
    506.70x = 760.41 × 457.74
  4. Step 4: Simplify right side
    506.70x = 348,070.07
  5. Step 5: Solve for x
    x = 348,070.07/506.70
  6. Step 6: Final answer
    x = 686.94

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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.