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Finding the Fourth Proportional to 404.66, 607.80 and 313.56

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Solution

The fourth proportional to 404.66, 607.80 and 313.56 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 607.80 = 313.56 : x
  2. Step 2: Convert to fraction form
    404.66/607.80 = 313.56/x
  3. Step 3: Cross multiply
    404.66x = 607.80 × 313.56
  4. Step 4: Simplify right side
    404.66x = 190,581.77
  5. Step 5: Solve for x
    x = 190,581.77/404.66
  6. Step 6: Final answer
    x = 470.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.