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Finding the Fourth Proportional to 948.82, 1,421.94 and 460.96

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Solution

The fourth proportional to 948.82, 1,421.94 and 460.96 is: 690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.82 : 1,421.94 = 460.96 : x
  2. Step 2: Convert to fraction form
    948.82/1,421.94 = 460.96/x
  3. Step 3: Cross multiply
    948.82x = 1,421.94 × 460.96
  4. Step 4: Simplify right side
    948.82x = 655,457.46
  5. Step 5: Solve for x
    x = 655,457.46/948.82
  6. Step 6: Final answer
    x = 690.81

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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.