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Finding the Fourth Proportional to 673.92, 928.80 and 498.96

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Solution

The fourth proportional to 673.92, 928.80 and 498.96 is: 687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 928.80 = 498.96 : x
  2. Step 2: Convert to fraction form
    673.92/928.80 = 498.96/x
  3. Step 3: Cross multiply
    673.92x = 928.80 × 498.96
  4. Step 4: Simplify right side
    673.92x = 463,434.05
  5. Step 5: Solve for x
    x = 463,434.05/673.92
  6. Step 6: Final answer
    x = 687.67

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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.