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Finding the Fourth Proportional to 673.80, 929.04 and 580.39

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Solution

The fourth proportional to 673.80, 929.04 and 580.39 is: 800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.80 : 929.04 = 580.39 : x
  2. Step 2: Convert to fraction form
    673.80/929.04 = 580.39/x
  3. Step 3: Cross multiply
    673.80x = 929.04 × 580.39
  4. Step 4: Simplify right side
    673.80x = 539,205.38
  5. Step 5: Solve for x
    x = 539,205.38/673.80
  6. Step 6: Final answer
    x = 800.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.