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Finding the Fourth Proportional to 520.65, 785.46 and 495.03

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Solution

The fourth proportional to 520.65, 785.46 and 495.03 is: 746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 785.46 = 495.03 : x
  2. Step 2: Convert to fraction form
    520.65/785.46 = 495.03/x
  3. Step 3: Cross multiply
    520.65x = 785.46 × 495.03
  4. Step 4: Simplify right side
    520.65x = 388,826.26
  5. Step 5: Solve for x
    x = 388,826.26/520.65
  6. Step 6: Final answer
    x = 746.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.