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Finding the Fourth Proportional to 595.81, 820.42 and 471.07

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Solution

The fourth proportional to 595.81, 820.42 and 471.07 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.81 : 820.42 = 471.07 : x
  2. Step 2: Convert to fraction form
    595.81/820.42 = 471.07/x
  3. Step 3: Cross multiply
    595.81x = 820.42 × 471.07
  4. Step 4: Simplify right side
    595.81x = 386,475.25
  5. Step 5: Solve for x
    x = 386,475.25/595.81
  6. Step 6: Final answer
    x = 648.66

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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.