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Finding the Fourth Proportional to 595.63, 821.01 and 455.29

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Solution

The fourth proportional to 595.63, 821.01 and 455.29 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 821.01 = 455.29 : x
  2. Step 2: Convert to fraction form
    595.63/821.01 = 455.29/x
  3. Step 3: Cross multiply
    595.63x = 821.01 × 455.29
  4. Step 4: Simplify right side
    595.63x = 373,797.64
  5. Step 5: Solve for x
    x = 373,797.64/595.63
  6. Step 6: Final answer
    x = 627.57

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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.