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Finding the Fourth Proportional to 1,278.58, 1,915.62 and 911.47

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Solution

The fourth proportional to 1,278.58, 1,915.62 and 911.47 is: 1,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.58 : 1,915.62 = 911.47 : x
  2. Step 2: Convert to fraction form
    1,278.58/1,915.62 = 911.47/x
  3. Step 3: Cross multiply
    1,278.58x = 1,915.62 × 911.47
  4. Step 4: Simplify right side
    1,278.58x = 1,746,030.16
  5. Step 5: Solve for x
    x = 1,746,030.16/1,278.58
  6. Step 6: Final answer
    x = 1,365.60

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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.