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Finding the Fourth Proportional to 1,040.96, 1,562.63 and 425.10

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Solution

The fourth proportional to 1,040.96, 1,562.63 and 425.10 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.96 : 1,562.63 = 425.10 : x
  2. Step 2: Convert to fraction form
    1,040.96/1,562.63 = 425.10/x
  3. Step 3: Cross multiply
    1,040.96x = 1,562.63 × 425.10
  4. Step 4: Simplify right side
    1,040.96x = 664,271.89
  5. Step 5: Solve for x
    x = 664,271.89/1,040.96
  6. Step 6: Final answer
    x = 638.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.