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Finding the Fourth Proportional to 673.04, 927.65 and 473.95

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Solution

The fourth proportional to 673.04, 927.65 and 473.95 is: 653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.04 : 927.65 = 473.95 : x
  2. Step 2: Convert to fraction form
    673.04/927.65 = 473.95/x
  3. Step 3: Cross multiply
    673.04x = 927.65 × 473.95
  4. Step 4: Simplify right side
    673.04x = 439,662.06
  5. Step 5: Solve for x
    x = 439,662.06/673.04
  6. Step 6: Final answer
    x = 653.25

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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.