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Finding the Fourth Proportional to 592.31, 817.47 and 427.07

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Solution

The fourth proportional to 592.31, 817.47 and 427.07 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.31 : 817.47 = 427.07 : x
  2. Step 2: Convert to fraction form
    592.31/817.47 = 427.07/x
  3. Step 3: Cross multiply
    592.31x = 817.47 × 427.07
  4. Step 4: Simplify right side
    592.31x = 349,114.78
  5. Step 5: Solve for x
    x = 349,114.78/592.31
  6. Step 6: Final answer
    x = 589.41

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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.