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Finding the Fourth Proportional to 1,024.37, 1,536.77 and 613.70

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Solution

The fourth proportional to 1,024.37, 1,536.77 and 613.70 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.37 : 1,536.77 = 613.70 : x
  2. Step 2: Convert to fraction form
    1,024.37/1,536.77 = 613.70/x
  3. Step 3: Cross multiply
    1,024.37x = 1,536.77 × 613.70
  4. Step 4: Simplify right side
    1,024.37x = 943,115.75
  5. Step 5: Solve for x
    x = 943,115.75/1,024.37
  6. Step 6: Final answer
    x = 920.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.