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Finding the Fourth Proportional to 529.81, 794.73 and 313.27

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Solution

The fourth proportional to 529.81, 794.73 and 313.27 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.81 : 794.73 = 313.27 : x
  2. Step 2: Convert to fraction form
    529.81/794.73 = 313.27/x
  3. Step 3: Cross multiply
    529.81x = 794.73 × 313.27
  4. Step 4: Simplify right side
    529.81x = 248,965.07
  5. Step 5: Solve for x
    x = 248,965.07/529.81
  6. Step 6: Final answer
    x = 469.91

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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.