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Finding the Fourth Proportional to 539.70, 812.50 and 495.06

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Solution

The fourth proportional to 539.70, 812.50 and 495.06 is: 745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.70 : 812.50 = 495.06 : x
  2. Step 2: Convert to fraction form
    539.70/812.50 = 495.06/x
  3. Step 3: Cross multiply
    539.70x = 812.50 × 495.06
  4. Step 4: Simplify right side
    539.70x = 402,236.25
  5. Step 5: Solve for x
    x = 402,236.25/539.70
  6. Step 6: Final answer
    x = 745.30

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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.