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Finding the Fourth Proportional to 1,527.37, 2,289.71 and 661.21

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Solution

The fourth proportional to 1,527.37, 2,289.71 and 661.21 is: 991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.37 : 2,289.71 = 661.21 : x
  2. Step 2: Convert to fraction form
    1,527.37/2,289.71 = 661.21/x
  3. Step 3: Cross multiply
    1,527.37x = 2,289.71 × 661.21
  4. Step 4: Simplify right side
    1,527.37x = 1,513,986.10
  5. Step 5: Solve for x
    x = 1,513,986.10/1,527.37
  6. Step 6: Final answer
    x = 991.24

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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.