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Finding the Fourth Proportional to 846.68, 1,271.04 and 573.96

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Solution

The fourth proportional to 846.68, 1,271.04 and 573.96 is: 861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.68 : 1,271.04 = 573.96 : x
  2. Step 2: Convert to fraction form
    846.68/1,271.04 = 573.96/x
  3. Step 3: Cross multiply
    846.68x = 1,271.04 × 573.96
  4. Step 4: Simplify right side
    846.68x = 729,526.12
  5. Step 5: Solve for x
    x = 729,526.12/846.68
  6. Step 6: Final answer
    x = 861.63

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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.