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Finding the Fourth Proportional to 673.80, 928.63 and 498.84

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Solution

The fourth proportional to 673.80, 928.63 and 498.84 is: 687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.80 : 928.63 = 498.84 : x
  2. Step 2: Convert to fraction form
    673.80/928.63 = 498.84/x
  3. Step 3: Cross multiply
    673.80x = 928.63 × 498.84
  4. Step 4: Simplify right side
    673.80x = 463,237.79
  5. Step 5: Solve for x
    x = 463,237.79/673.80
  6. Step 6: Final answer
    x = 687.50

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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.