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Finding the Fourth Proportional to 595.43, 821.57 and 455.30

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Solution

The fourth proportional to 595.43, 821.57 and 455.30 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.43 : 821.57 = 455.30 : x
  2. Step 2: Convert to fraction form
    595.43/821.57 = 455.30/x
  3. Step 3: Cross multiply
    595.43x = 821.57 × 455.30
  4. Step 4: Simplify right side
    595.43x = 374,054.44
  5. Step 5: Solve for x
    x = 374,054.44/595.43
  6. Step 6: Final answer
    x = 628.21

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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.