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Finding the Fourth Proportional to 491.72, 678.73 and 317.06

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Solution

The fourth proportional to 491.72, 678.73 and 317.06 is: 437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 678.73 = 317.06 : x
  2. Step 2: Convert to fraction form
    491.72/678.73 = 317.06/x
  3. Step 3: Cross multiply
    491.72x = 678.73 × 317.06
  4. Step 4: Simplify right side
    491.72x = 215,199.04
  5. Step 5: Solve for x
    x = 215,199.04/491.72
  6. Step 6: Final answer
    x = 437.64

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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.