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Finding the Fourth Proportional to 536.84, 805.83 and 407.67

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Solution

The fourth proportional to 536.84, 805.83 and 407.67 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 805.83 = 407.67 : x
  2. Step 2: Convert to fraction form
    536.84/805.83 = 407.67/x
  3. Step 3: Cross multiply
    536.84x = 805.83 × 407.67
  4. Step 4: Simplify right side
    536.84x = 328,510.68
  5. Step 5: Solve for x
    x = 328,510.68/536.84
  6. Step 6: Final answer
    x = 611.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.