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Finding the Fourth Proportional to 473.28, 705.60 and 461.29

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Solution

The fourth proportional to 473.28, 705.60 and 461.29 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 705.60 = 461.29 : x
  2. Step 2: Convert to fraction form
    473.28/705.60 = 461.29/x
  3. Step 3: Cross multiply
    473.28x = 705.60 × 461.29
  4. Step 4: Simplify right side
    473.28x = 325,486.22
  5. Step 5: Solve for x
    x = 325,486.22/473.28
  6. Step 6: Final answer
    x = 687.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.