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Finding the Fourth Proportional to 595.19, 821.25 and 343.07

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Solution

The fourth proportional to 595.19, 821.25 and 343.07 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.19 : 821.25 = 343.07 : x
  2. Step 2: Convert to fraction form
    595.19/821.25 = 343.07/x
  3. Step 3: Cross multiply
    595.19x = 821.25 × 343.07
  4. Step 4: Simplify right side
    595.19x = 281,746.24
  5. Step 5: Solve for x
    x = 281,746.24/595.19
  6. Step 6: Final answer
    x = 473.37

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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.