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Finding the Fourth Proportional to 471.95, 707.95 and 298.76

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Solution

The fourth proportional to 471.95, 707.95 and 298.76 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 707.95 = 298.76 : x
  2. Step 2: Convert to fraction form
    471.95/707.95 = 298.76/x
  3. Step 3: Cross multiply
    471.95x = 707.95 × 298.76
  4. Step 4: Simplify right side
    471.95x = 211,507.14
  5. Step 5: Solve for x
    x = 211,507.14/471.95
  6. Step 6: Final answer
    x = 448.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.