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Finding the Fourth Proportional to 948.45, 1,421.99 and 639.53

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Solution

The fourth proportional to 948.45, 1,421.99 and 639.53 is: 958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.45 : 1,421.99 = 639.53 : x
  2. Step 2: Convert to fraction form
    948.45/1,421.99 = 639.53/x
  3. Step 3: Cross multiply
    948.45x = 1,421.99 × 639.53
  4. Step 4: Simplify right side
    948.45x = 909,405.26
  5. Step 5: Solve for x
    x = 909,405.26/948.45
  6. Step 6: Final answer
    x = 958.83

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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.