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Finding the Fourth Proportional to 575.61, 792.79 and 427.98

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Solution

The fourth proportional to 575.61, 792.79 and 427.98 is: 589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.61 : 792.79 = 427.98 : x
  2. Step 2: Convert to fraction form
    575.61/792.79 = 427.98/x
  3. Step 3: Cross multiply
    575.61x = 792.79 × 427.98
  4. Step 4: Simplify right side
    575.61x = 339,300.17
  5. Step 5: Solve for x
    x = 339,300.17/575.61
  6. Step 6: Final answer
    x = 589.47

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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.