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Finding the Fourth Proportional to 1,670, 2,504.96 and 575.12

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Solution

The fourth proportional to 1,670, 2,504.96 and 575.12 is: 862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 2,504.96 = 575.12 : x
  2. Step 2: Convert to fraction form
    1,670/2,504.96 = 575.12/x
  3. Step 3: Cross multiply
    1,670x = 2,504.96 × 575.12
  4. Step 4: Simplify right side
    1,670x = 1,440,652.60
  5. Step 5: Solve for x
    x = 1,440,652.60/1,670
  6. Step 6: Final answer
    x = 862.67

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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.