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Finding the Fourth Proportional to 875.29, 1,200.06 and 859.69

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Solution

The fourth proportional to 875.29, 1,200.06 and 859.69 is: 1,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.29 : 1,200.06 = 859.69 : x
  2. Step 2: Convert to fraction form
    875.29/1,200.06 = 859.69/x
  3. Step 3: Cross multiply
    875.29x = 1,200.06 × 859.69
  4. Step 4: Simplify right side
    875.29x = 1,031,679.58
  5. Step 5: Solve for x
    x = 1,031,679.58/875.29
  6. Step 6: Final answer
    x = 1,178.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.