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Finding the Fourth Proportional to 673.66, 929.42 and 437.90

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Solution

The fourth proportional to 673.66, 929.42 and 437.90 is: 604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.66 : 929.42 = 437.90 : x
  2. Step 2: Convert to fraction form
    673.66/929.42 = 437.90/x
  3. Step 3: Cross multiply
    673.66x = 929.42 × 437.90
  4. Step 4: Simplify right side
    673.66x = 406,989.47
  5. Step 5: Solve for x
    x = 406,989.47/673.66
  6. Step 6: Final answer
    x = 604.15

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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.