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Finding the Fourth Proportional to 1,266.50, 1,894.32 and 915.89

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Solution

The fourth proportional to 1,266.50, 1,894.32 and 915.89 is: 1,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.50 : 1,894.32 = 915.89 : x
  2. Step 2: Convert to fraction form
    1,266.50/1,894.32 = 915.89/x
  3. Step 3: Cross multiply
    1,266.50x = 1,894.32 × 915.89
  4. Step 4: Simplify right side
    1,266.50x = 1,734,988.74
  5. Step 5: Solve for x
    x = 1,734,988.74/1,266.50
  6. Step 6: Final answer
    x = 1,369.91

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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.