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Finding the Fourth Proportional to 915.61, 1,262.41 and 782.59

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Solution

The fourth proportional to 915.61, 1,262.41 and 782.59 is: 1,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.61 : 1,262.41 = 782.59 : x
  2. Step 2: Convert to fraction form
    915.61/1,262.41 = 782.59/x
  3. Step 3: Cross multiply
    915.61x = 1,262.41 × 782.59
  4. Step 4: Simplify right side
    915.61x = 987,949.44
  5. Step 5: Solve for x
    x = 987,949.44/915.61
  6. Step 6: Final answer
    x = 1,079.01

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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.