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Finding the Fourth Proportional to 524.25, 783.27 and 506.07

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Solution

The fourth proportional to 524.25, 783.27 and 506.07 is: 756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.25 : 783.27 = 506.07 : x
  2. Step 2: Convert to fraction form
    524.25/783.27 = 506.07/x
  3. Step 3: Cross multiply
    524.25x = 783.27 × 506.07
  4. Step 4: Simplify right side
    524.25x = 396,389.45
  5. Step 5: Solve for x
    x = 396,389.45/524.25
  6. Step 6: Final answer
    x = 756.11

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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.