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Finding the Fourth Proportional to 673.76, 929.94 and 440.76

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Solution

The fourth proportional to 673.76, 929.94 and 440.76 is: 608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.76 : 929.94 = 440.76 : x
  2. Step 2: Convert to fraction form
    673.76/929.94 = 440.76/x
  3. Step 3: Cross multiply
    673.76x = 929.94 × 440.76
  4. Step 4: Simplify right side
    673.76x = 409,880.35
  5. Step 5: Solve for x
    x = 409,880.35/673.76
  6. Step 6: Final answer
    x = 608.35

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Half scale
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Double scale
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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.