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Finding the Fourth Proportional to 536.84, 740.73 and 315.86

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Solution

The fourth proportional to 536.84, 740.73 and 315.86 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 740.73 = 315.86 : x
  2. Step 2: Convert to fraction form
    536.84/740.73 = 315.86/x
  3. Step 3: Cross multiply
    536.84x = 740.73 × 315.86
  4. Step 4: Simplify right side
    536.84x = 233,969.22
  5. Step 5: Solve for x
    x = 233,969.22/536.84
  6. Step 6: Final answer
    x = 435.83

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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.