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Finding the Fourth Proportional to 1,195.26, 1,650.27 and 915.00

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Solution

The fourth proportional to 1,195.26, 1,650.27 and 915.00 is: 1,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.26 : 1,650.27 = 915.00 : x
  2. Step 2: Convert to fraction form
    1,195.26/1,650.27 = 915.00/x
  3. Step 3: Cross multiply
    1,195.26x = 1,650.27 × 915.00
  4. Step 4: Simplify right side
    1,195.26x = 1,509,994.29
  5. Step 5: Solve for x
    x = 1,509,994.29/1,195.26
  6. Step 6: Final answer
    x = 1,263.32

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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.