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Finding the Fourth Proportional to 875.89, 1,203.32 and 783.86

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Solution

The fourth proportional to 875.89, 1,203.32 and 783.86 is: 1,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.89 : 1,203.32 = 783.86 : x
  2. Step 2: Convert to fraction form
    875.89/1,203.32 = 783.86/x
  3. Step 3: Cross multiply
    875.89x = 1,203.32 × 783.86
  4. Step 4: Simplify right side
    875.89x = 943,234.42
  5. Step 5: Solve for x
    x = 943,234.42/875.89
  6. Step 6: Final answer
    x = 1,076.89

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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.