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Finding the Fourth Proportional to 673.75, 1,011.75 and 623.24

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Solution

The fourth proportional to 673.75, 1,011.75 and 623.24 is: 935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.75 : 1,011.75 = 623.24 : x
  2. Step 2: Convert to fraction form
    673.75/1,011.75 = 623.24/x
  3. Step 3: Cross multiply
    673.75x = 1,011.75 × 623.24
  4. Step 4: Simplify right side
    673.75x = 630,563.07
  5. Step 5: Solve for x
    x = 630,563.07/673.75
  6. Step 6: Final answer
    x = 935.90

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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.