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Finding the Fourth Proportional to 946.12, 1,305.46 and 553.07

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Solution

The fourth proportional to 946.12, 1,305.46 and 553.07 is: 763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.12 : 1,305.46 = 553.07 : x
  2. Step 2: Convert to fraction form
    946.12/1,305.46 = 553.07/x
  3. Step 3: Cross multiply
    946.12x = 1,305.46 × 553.07
  4. Step 4: Simplify right side
    946.12x = 722,010.76
  5. Step 5: Solve for x
    x = 722,010.76/946.12
  6. Step 6: Final answer
    x = 763.13

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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.