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Finding the Fourth Proportional to 957.57, 1,435.33 and 495.23

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Solution

The fourth proportional to 957.57, 1,435.33 and 495.23 is: 742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.57 : 1,435.33 = 495.23 : x
  2. Step 2: Convert to fraction form
    957.57/1,435.33 = 495.23/x
  3. Step 3: Cross multiply
    957.57x = 1,435.33 × 495.23
  4. Step 4: Simplify right side
    957.57x = 710,818.48
  5. Step 5: Solve for x
    x = 710,818.48/957.57
  6. Step 6: Final answer
    x = 742.31

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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.