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Finding the Fourth Proportional to 1,307.40, 1,958.67 and 1,113

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Solution

The fourth proportional to 1,307.40, 1,958.67 and 1,113 is: 1,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.40 : 1,958.67 = 1,113 : x
  2. Step 2: Convert to fraction form
    1,307.40/1,958.67 = 1,113/x
  3. Step 3: Cross multiply
    1,307.40x = 1,958.67 × 1,113
  4. Step 4: Simplify right side
    1,307.40x = 2,179,999.71
  5. Step 5: Solve for x
    x = 2,179,999.71/1,307.40
  6. Step 6: Final answer
    x = 1,667.43

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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.