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Finding the Fourth Proportional to 595.43, 822.37 and 485.47

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Solution

The fourth proportional to 595.43, 822.37 and 485.47 is: 670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.43 : 822.37 = 485.47 : x
  2. Step 2: Convert to fraction form
    595.43/822.37 = 485.47/x
  3. Step 3: Cross multiply
    595.43x = 822.37 × 485.47
  4. Step 4: Simplify right side
    595.43x = 399,235.96
  5. Step 5: Solve for x
    x = 399,235.96/595.43
  6. Step 6: Final answer
    x = 670.50

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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.