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Finding the Fourth Proportional to 536.86, 740.85 and 315.83

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Solution

The fourth proportional to 536.86, 740.85 and 315.83 is: 435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.86 : 740.85 = 315.83 : x
  2. Step 2: Convert to fraction form
    536.86/740.85 = 315.83/x
  3. Step 3: Cross multiply
    536.86x = 740.85 × 315.83
  4. Step 4: Simplify right side
    536.86x = 233,983.32
  5. Step 5: Solve for x
    x = 233,983.32/536.86
  6. Step 6: Final answer
    x = 435.84

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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.