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Finding the Fourth Proportional to 985.46, 1,476.50 and 573.57

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Solution

The fourth proportional to 985.46, 1,476.50 and 573.57 is: 859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.46 : 1,476.50 = 573.57 : x
  2. Step 2: Convert to fraction form
    985.46/1,476.50 = 573.57/x
  3. Step 3: Cross multiply
    985.46x = 1,476.50 × 573.57
  4. Step 4: Simplify right side
    985.46x = 846,873.24
  5. Step 5: Solve for x
    x = 846,873.24/985.46
  6. Step 6: Final answer
    x = 859.37

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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.