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Finding the Fourth Proportional to 1,210.02, 1,811.72 and 631.68

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Solution

The fourth proportional to 1,210.02, 1,811.72 and 631.68 is: 945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.02 : 1,811.72 = 631.68 : x
  2. Step 2: Convert to fraction form
    1,210.02/1,811.72 = 631.68/x
  3. Step 3: Cross multiply
    1,210.02x = 1,811.72 × 631.68
  4. Step 4: Simplify right side
    1,210.02x = 1,144,427.29
  5. Step 5: Solve for x
    x = 1,144,427.29/1,210.02
  6. Step 6: Final answer
    x = 945.79

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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.