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Finding the Fourth Proportional to 536.78, 740.77 and 309.70

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Solution

The fourth proportional to 536.78, 740.77 and 309.70 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 740.77 = 309.70 : x
  2. Step 2: Convert to fraction form
    536.78/740.77 = 309.70/x
  3. Step 3: Cross multiply
    536.78x = 740.77 × 309.70
  4. Step 4: Simplify right side
    536.78x = 229,416.62
  5. Step 5: Solve for x
    x = 229,416.62/536.78
  6. Step 6: Final answer
    x = 427.39

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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.