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Finding the Fourth Proportional to 1,303.53, 1,954.81 and 425.83

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Solution

The fourth proportional to 1,303.53, 1,954.81 and 425.83 is: 638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.53 : 1,954.81 = 425.83 : x
  2. Step 2: Convert to fraction form
    1,303.53/1,954.81 = 425.83/x
  3. Step 3: Cross multiply
    1,303.53x = 1,954.81 × 425.83
  4. Step 4: Simplify right side
    1,303.53x = 832,410.79
  5. Step 5: Solve for x
    x = 832,410.79/1,303.53
  6. Step 6: Final answer
    x = 638.58

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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.