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Finding the Fourth Proportional to 595.69, 822.16 and 347.09

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Solution

The fourth proportional to 595.69, 822.16 and 347.09 is: 479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.69 : 822.16 = 347.09 : x
  2. Step 2: Convert to fraction form
    595.69/822.16 = 347.09/x
  3. Step 3: Cross multiply
    595.69x = 822.16 × 347.09
  4. Step 4: Simplify right side
    595.69x = 285,363.51
  5. Step 5: Solve for x
    x = 285,363.51/595.69
  6. Step 6: Final answer
    x = 479.05

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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.