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Finding the Fourth Proportional to 1,389.66, 1,915.75 and 946.79

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Solution

The fourth proportional to 1,389.66, 1,915.75 and 946.79 is: 1,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.66 : 1,915.75 = 946.79 : x
  2. Step 2: Convert to fraction form
    1,389.66/1,915.75 = 946.79/x
  3. Step 3: Cross multiply
    1,389.66x = 1,915.75 × 946.79
  4. Step 4: Simplify right side
    1,389.66x = 1,813,811.73
  5. Step 5: Solve for x
    x = 1,813,811.73/1,389.66
  6. Step 6: Final answer
    x = 1,305.22

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1.5x scale

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.