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Finding the Fourth Proportional to 536.46, 740.39 and 315.48

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Solution

The fourth proportional to 536.46, 740.39 and 315.48 is: 435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 740.39 = 315.48 : x
  2. Step 2: Convert to fraction form
    536.46/740.39 = 315.48/x
  3. Step 3: Cross multiply
    536.46x = 740.39 × 315.48
  4. Step 4: Simplify right side
    536.46x = 233,578.24
  5. Step 5: Solve for x
    x = 233,578.24/536.46
  6. Step 6: Final answer
    x = 435.41

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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.