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Finding the Fourth Proportional to 875.03, 1,199.71 and 859.44

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Solution

The fourth proportional to 875.03, 1,199.71 and 859.44 is: 1,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.03 : 1,199.71 = 859.44 : x
  2. Step 2: Convert to fraction form
    875.03/1,199.71 = 859.44/x
  3. Step 3: Cross multiply
    875.03x = 1,199.71 × 859.44
  4. Step 4: Simplify right side
    875.03x = 1,031,078.76
  5. Step 5: Solve for x
    x = 1,031,078.76/875.03
  6. Step 6: Final answer
    x = 1,178.34

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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.