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Finding the Fourth Proportional to 673.90, 1,009.78 and 520.20

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Solution

The fourth proportional to 673.90, 1,009.78 and 520.20 is: 779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.90 : 1,009.78 = 520.20 : x
  2. Step 2: Convert to fraction form
    673.90/1,009.78 = 520.20/x
  3. Step 3: Cross multiply
    673.90x = 1,009.78 × 520.20
  4. Step 4: Simplify right side
    673.90x = 525,287.56
  5. Step 5: Solve for x
    x = 525,287.56/673.90
  6. Step 6: Final answer
    x = 779.47

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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.