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Finding the Fourth Proportional to 1,304.35, 1,951.62 and 915.11

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Solution

The fourth proportional to 1,304.35, 1,951.62 and 915.11 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.35 : 1,951.62 = 915.11 : x
  2. Step 2: Convert to fraction form
    1,304.35/1,951.62 = 915.11/x
  3. Step 3: Cross multiply
    1,304.35x = 1,951.62 × 915.11
  4. Step 4: Simplify right side
    1,304.35x = 1,785,946.98
  5. Step 5: Solve for x
    x = 1,785,946.98/1,304.35
  6. Step 6: Final answer
    x = 1,369.22

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1.5x scale

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.