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Finding the Fourth Proportional to 520.06, 715.65 and 506.44

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Solution

The fourth proportional to 520.06, 715.65 and 506.44 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.06 : 715.65 = 506.44 : x
  2. Step 2: Convert to fraction form
    520.06/715.65 = 506.44/x
  3. Step 3: Cross multiply
    520.06x = 715.65 × 506.44
  4. Step 4: Simplify right side
    520.06x = 362,433.79
  5. Step 5: Solve for x
    x = 362,433.79/520.06
  6. Step 6: Final answer
    x = 696.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.