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Finding the Fourth Proportional to 1,526.43, 2,289.72 and 486.51

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Solution

The fourth proportional to 1,526.43, 2,289.72 and 486.51 is: 729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.43 : 2,289.72 = 486.51 : x
  2. Step 2: Convert to fraction form
    1,526.43/2,289.72 = 486.51/x
  3. Step 3: Cross multiply
    1,526.43x = 2,289.72 × 486.51
  4. Step 4: Simplify right side
    1,526.43x = 1,113,971.68
  5. Step 5: Solve for x
    x = 1,113,971.68/1,526.43
  6. Step 6: Final answer
    x = 729.79

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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.