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Finding the Fourth Proportional to 474.93, 713.16 and 313.65

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Solution

The fourth proportional to 474.93, 713.16 and 313.65 is: 470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 713.16 = 313.65 : x
  2. Step 2: Convert to fraction form
    474.93/713.16 = 313.65/x
  3. Step 3: Cross multiply
    474.93x = 713.16 × 313.65
  4. Step 4: Simplify right side
    474.93x = 223,682.63
  5. Step 5: Solve for x
    x = 223,682.63/474.93
  6. Step 6: Final answer
    x = 470.98

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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.