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Finding the Fourth Proportional to 673.26, 929.34 and 421.07

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Solution

The fourth proportional to 673.26, 929.34 and 421.07 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.26 : 929.34 = 421.07 : x
  2. Step 2: Convert to fraction form
    673.26/929.34 = 421.07/x
  3. Step 3: Cross multiply
    673.26x = 929.34 × 421.07
  4. Step 4: Simplify right side
    673.26x = 391,319.52
  5. Step 5: Solve for x
    x = 391,319.52/673.26
  6. Step 6: Final answer
    x = 581.23

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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.