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Finding the Fourth Proportional to 946.13, 1,305.75 and 553.07

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Solution

The fourth proportional to 946.13, 1,305.75 and 553.07 is: 763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.13 : 1,305.75 = 553.07 : x
  2. Step 2: Convert to fraction form
    946.13/1,305.75 = 553.07/x
  3. Step 3: Cross multiply
    946.13x = 1,305.75 × 553.07
  4. Step 4: Simplify right side
    946.13x = 722,171.15
  5. Step 5: Solve for x
    x = 722,171.15/946.13
  6. Step 6: Final answer
    x = 763.29

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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.