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Finding the Fourth Proportional to 536.71, 740.69 and 303.79

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Solution

The fourth proportional to 536.71, 740.69 and 303.79 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 740.69 = 303.79 : x
  2. Step 2: Convert to fraction form
    536.71/740.69 = 303.79/x
  3. Step 3: Cross multiply
    536.71x = 740.69 × 303.79
  4. Step 4: Simplify right side
    536.71x = 225,014.22
  5. Step 5: Solve for x
    x = 225,014.22/536.71
  6. Step 6: Final answer
    x = 419.25

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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.