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Finding the Fourth Proportional to 506.70, 760.43 and 312.00

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Solution

The fourth proportional to 506.70, 760.43 and 312.00 is: 468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 760.43 = 312.00 : x
  2. Step 2: Convert to fraction form
    506.70/760.43 = 312.00/x
  3. Step 3: Cross multiply
    506.70x = 760.43 × 312.00
  4. Step 4: Simplify right side
    506.70x = 237,250.36
  5. Step 5: Solve for x
    x = 237,250.36/506.70
  6. Step 6: Final answer
    x = 468.23

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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.