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Finding the Fourth Proportional to 1,576.40, 2,364.60 and 550.16

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Solution

The fourth proportional to 1,576.40, 2,364.60 and 550.16 is: 825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.40 : 2,364.60 = 550.16 : x
  2. Step 2: Convert to fraction form
    1,576.40/2,364.60 = 550.16/x
  3. Step 3: Cross multiply
    1,576.40x = 2,364.60 × 550.16
  4. Step 4: Simplify right side
    1,576.40x = 1,300,908.34
  5. Step 5: Solve for x
    x = 1,300,908.34/1,576.40
  6. Step 6: Final answer
    x = 825.24

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1.5x scale

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.