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Finding the Fourth Proportional to 673.77, 928.91 and 463.55

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Solution

The fourth proportional to 673.77, 928.91 and 463.55 is: 639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.77 : 928.91 = 463.55 : x
  2. Step 2: Convert to fraction form
    673.77/928.91 = 463.55/x
  3. Step 3: Cross multiply
    673.77x = 928.91 × 463.55
  4. Step 4: Simplify right side
    673.77x = 430,596.23
  5. Step 5: Solve for x
    x = 430,596.23/673.77
  6. Step 6: Final answer
    x = 639.08

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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.