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Finding the Fourth Proportional to 945, 1,419.12 and 859.14

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Solution

The fourth proportional to 945, 1,419.12 and 859.14 is: 1,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,419.12 = 859.14 : x
  2. Step 2: Convert to fraction form
    945/1,419.12 = 859.14/x
  3. Step 3: Cross multiply
    945x = 1,419.12 × 859.14
  4. Step 4: Simplify right side
    945x = 1,219,222.76
  5. Step 5: Solve for x
    x = 1,219,222.76/945
  6. Step 6: Final answer
    x = 1,290.18

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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.