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Finding the Fourth Proportional to 673.64, 928.80 and 463.40

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Solution

The fourth proportional to 673.64, 928.80 and 463.40 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.64 : 928.80 = 463.40 : x
  2. Step 2: Convert to fraction form
    673.64/928.80 = 463.40/x
  3. Step 3: Cross multiply
    673.64x = 928.80 × 463.40
  4. Step 4: Simplify right side
    673.64x = 430,405.92
  5. Step 5: Solve for x
    x = 430,405.92/673.64
  6. Step 6: Final answer
    x = 638.93

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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.