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Finding the Fourth Proportional to 575.78, 794.56 and 313.80

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Solution

The fourth proportional to 575.78, 794.56 and 313.80 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 794.56 = 313.80 : x
  2. Step 2: Convert to fraction form
    575.78/794.56 = 313.80/x
  3. Step 3: Cross multiply
    575.78x = 794.56 × 313.80
  4. Step 4: Simplify right side
    575.78x = 249,332.93
  5. Step 5: Solve for x
    x = 249,332.93/575.78
  6. Step 6: Final answer
    x = 433.04

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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.