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Finding the Fourth Proportional to 1,148.78, 1,585.24 and 676.60

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Solution

The fourth proportional to 1,148.78, 1,585.24 and 676.60 is: 933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.78 : 1,585.24 = 676.60 : x
  2. Step 2: Convert to fraction form
    1,148.78/1,585.24 = 676.60/x
  3. Step 3: Cross multiply
    1,148.78x = 1,585.24 × 676.60
  4. Step 4: Simplify right side
    1,148.78x = 1,072,573.38
  5. Step 5: Solve for x
    x = 1,072,573.38/1,148.78
  6. Step 6: Final answer
    x = 933.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.