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Finding the Fourth Proportional to 575.29, 864.84 and 473.33

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Solution

The fourth proportional to 575.29, 864.84 and 473.33 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.29 : 864.84 = 473.33 : x
  2. Step 2: Convert to fraction form
    575.29/864.84 = 473.33/x
  3. Step 3: Cross multiply
    575.29x = 864.84 × 473.33
  4. Step 4: Simplify right side
    575.29x = 409,354.72
  5. Step 5: Solve for x
    x = 409,354.72/575.29
  6. Step 6: Final answer
    x = 711.56

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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.