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Finding the Fourth Proportional to 1,039.08, 1,564.95 and 946.92

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Solution

The fourth proportional to 1,039.08, 1,564.95 and 946.92 is: 1,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.08 : 1,564.95 = 946.92 : x
  2. Step 2: Convert to fraction form
    1,039.08/1,564.95 = 946.92/x
  3. Step 3: Cross multiply
    1,039.08x = 1,564.95 × 946.92
  4. Step 4: Simplify right side
    1,039.08x = 1,481,882.45
  5. Step 5: Solve for x
    x = 1,481,882.45/1,039.08
  6. Step 6: Final answer
    x = 1,426.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.