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Finding the Fourth Proportional to 574.98, 793.45 and 313.00

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Solution

The fourth proportional to 574.98, 793.45 and 313.00 is: 431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.98 : 793.45 = 313.00 : x
  2. Step 2: Convert to fraction form
    574.98/793.45 = 313.00/x
  3. Step 3: Cross multiply
    574.98x = 793.45 × 313.00
  4. Step 4: Simplify right side
    574.98x = 248,347.87
  5. Step 5: Solve for x
    x = 248,347.87/574.98
  6. Step 6: Final answer
    x = 431.92

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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.