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Finding the Fourth Proportional to 506.88, 756.24 and 482.40

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Solution

The fourth proportional to 506.88, 756.24 and 482.40 is: 719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 756.24 = 482.40 : x
  2. Step 2: Convert to fraction form
    506.88/756.24 = 482.40/x
  3. Step 3: Cross multiply
    506.88x = 756.24 × 482.40
  4. Step 4: Simplify right side
    506.88x = 364,810.18
  5. Step 5: Solve for x
    x = 364,810.18/506.88
  6. Step 6: Final answer
    x = 719.72

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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.