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Finding the Fourth Proportional to 595.79, 822.35 and 347.19

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Solution

The fourth proportional to 595.79, 822.35 and 347.19 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.79 : 822.35 = 347.19 : x
  2. Step 2: Convert to fraction form
    595.79/822.35 = 347.19/x
  3. Step 3: Cross multiply
    595.79x = 822.35 × 347.19
  4. Step 4: Simplify right side
    595.79x = 285,509.48
  5. Step 5: Solve for x
    x = 285,509.48/595.79
  6. Step 6: Final answer
    x = 479.21

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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.