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Finding the Fourth Proportional to 1,319.74, 1,975.20 and 948.58

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Solution

The fourth proportional to 1,319.74, 1,975.20 and 948.58 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.74 : 1,975.20 = 948.58 : x
  2. Step 2: Convert to fraction form
    1,319.74/1,975.20 = 948.58/x
  3. Step 3: Cross multiply
    1,319.74x = 1,975.20 × 948.58
  4. Step 4: Simplify right side
    1,319.74x = 1,873,635.22
  5. Step 5: Solve for x
    x = 1,873,635.22/1,319.74
  6. Step 6: Final answer
    x = 1,419.70

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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.