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Finding the Fourth Proportional to 948.10, 1,419.59 and 491.14

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Solution

The fourth proportional to 948.10, 1,419.59 and 491.14 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.10 : 1,419.59 = 491.14 : x
  2. Step 2: Convert to fraction form
    948.10/1,419.59 = 491.14/x
  3. Step 3: Cross multiply
    948.10x = 1,419.59 × 491.14
  4. Step 4: Simplify right side
    948.10x = 697,217.43
  5. Step 5: Solve for x
    x = 697,217.43/948.10
  6. Step 6: Final answer
    x = 735.38

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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.