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Finding the Fourth Proportional to 595.40, 821.42 and 455.37

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Solution

The fourth proportional to 595.40, 821.42 and 455.37 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 821.42 = 455.37 : x
  2. Step 2: Convert to fraction form
    595.40/821.42 = 455.37/x
  3. Step 3: Cross multiply
    595.40x = 821.42 × 455.37
  4. Step 4: Simplify right side
    595.40x = 374,045.92
  5. Step 5: Solve for x
    x = 374,045.92/595.40
  6. Step 6: Final answer
    x = 628.23

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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.