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Finding the Fourth Proportional to 877.65, 1,316.48 and 228.39

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Solution

The fourth proportional to 877.65, 1,316.48 and 228.39 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.65 : 1,316.48 = 228.39 : x
  2. Step 2: Convert to fraction form
    877.65/1,316.48 = 228.39/x
  3. Step 3: Cross multiply
    877.65x = 1,316.48 × 228.39
  4. Step 4: Simplify right side
    877.65x = 300,670.87
  5. Step 5: Solve for x
    x = 300,670.87/877.65
  6. Step 6: Final answer
    x = 342.59

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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.