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Finding the Fourth Proportional to 595.01, 821.37 and 409.45

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Solution

The fourth proportional to 595.01, 821.37 and 409.45 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.01 : 821.37 = 409.45 : x
  2. Step 2: Convert to fraction form
    595.01/821.37 = 409.45/x
  3. Step 3: Cross multiply
    595.01x = 821.37 × 409.45
  4. Step 4: Simplify right side
    595.01x = 336,309.95
  5. Step 5: Solve for x
    x = 336,309.95/595.01
  6. Step 6: Final answer
    x = 565.22

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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.