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Finding the Fourth Proportional to 673.88, 1,014.44 and 520.64

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Solution

The fourth proportional to 673.88, 1,014.44 and 520.64 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.88 : 1,014.44 = 520.64 : x
  2. Step 2: Convert to fraction form
    673.88/1,014.44 = 520.64/x
  3. Step 3: Cross multiply
    673.88x = 1,014.44 × 520.64
  4. Step 4: Simplify right side
    673.88x = 528,158.04
  5. Step 5: Solve for x
    x = 528,158.04/673.88
  6. Step 6: Final answer
    x = 783.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.