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Finding the Fourth Proportional to 1,303.22, 1,954.34 and 425.51

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Solution

The fourth proportional to 1,303.22, 1,954.34 and 425.51 is: 638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.22 : 1,954.34 = 425.51 : x
  2. Step 2: Convert to fraction form
    1,303.22/1,954.34 = 425.51/x
  3. Step 3: Cross multiply
    1,303.22x = 1,954.34 × 425.51
  4. Step 4: Simplify right side
    1,303.22x = 831,595.04
  5. Step 5: Solve for x
    x = 831,595.04/1,303.22
  6. Step 6: Final answer
    x = 638.11

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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.