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Finding the Fourth Proportional to 491.64, 673.51 and 473.14

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Solution

The fourth proportional to 491.64, 673.51 and 473.14 is: 648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 673.51 = 473.14 : x
  2. Step 2: Convert to fraction form
    491.64/673.51 = 473.14/x
  3. Step 3: Cross multiply
    491.64x = 673.51 × 473.14
  4. Step 4: Simplify right side
    491.64x = 318,664.52
  5. Step 5: Solve for x
    x = 318,664.52/491.64
  6. Step 6: Final answer
    x = 648.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.