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Finding the Fourth Proportional to 1,526.72, 2,289.72 and 431.12

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Solution

The fourth proportional to 1,526.72, 2,289.72 and 431.12 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.72 : 2,289.72 = 431.12 : x
  2. Step 2: Convert to fraction form
    1,526.72/2,289.72 = 431.12/x
  3. Step 3: Cross multiply
    1,526.72x = 2,289.72 × 431.12
  4. Step 4: Simplify right side
    1,526.72x = 987,144.09
  5. Step 5: Solve for x
    x = 987,144.09/1,526.72
  6. Step 6: Final answer
    x = 646.58

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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.