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Finding the Fourth Proportional to 904.65, 1,350.21 and 882.78

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Solution

The fourth proportional to 904.65, 1,350.21 and 882.78 is: 1,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.65 : 1,350.21 = 882.78 : x
  2. Step 2: Convert to fraction form
    904.65/1,350.21 = 882.78/x
  3. Step 3: Cross multiply
    904.65x = 1,350.21 × 882.78
  4. Step 4: Simplify right side
    904.65x = 1,191,938.38
  5. Step 5: Solve for x
    x = 1,191,938.38/904.65
  6. Step 6: Final answer
    x = 1,317.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.