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Finding the Fourth Proportional to 1,225.90, 1,689.42 and 946.99

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Solution

The fourth proportional to 1,225.90, 1,689.42 and 946.99 is: 1,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.90 : 1,689.42 = 946.99 : x
  2. Step 2: Convert to fraction form
    1,225.90/1,689.42 = 946.99/x
  3. Step 3: Cross multiply
    1,225.90x = 1,689.42 × 946.99
  4. Step 4: Simplify right side
    1,225.90x = 1,599,863.85
  5. Step 5: Solve for x
    x = 1,599,863.85/1,225.90
  6. Step 6: Final answer
    x = 1,305.05

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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.