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Finding the Fourth Proportional to 575.73, 794.50 and 313.75

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Solution

The fourth proportional to 575.73, 794.50 and 313.75 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.73 : 794.50 = 313.75 : x
  2. Step 2: Convert to fraction form
    575.73/794.50 = 313.75/x
  3. Step 3: Cross multiply
    575.73x = 794.50 × 313.75
  4. Step 4: Simplify right side
    575.73x = 249,270.40
  5. Step 5: Solve for x
    x = 249,270.40/575.73
  6. Step 6: Final answer
    x = 432.96

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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.