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Finding the Fourth Proportional to 524.78, 790.97 and 495.01

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Solution

The fourth proportional to 524.78, 790.97 and 495.01 is: 746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 790.97 = 495.01 : x
  2. Step 2: Convert to fraction form
    524.78/790.97 = 495.01/x
  3. Step 3: Cross multiply
    524.78x = 790.97 × 495.01
  4. Step 4: Simplify right side
    524.78x = 391,536.57
  5. Step 5: Solve for x
    x = 391,536.57/524.78
  6. Step 6: Final answer
    x = 746.10

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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.