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Finding the Fourth Proportional to 595.45, 822.27 and 430.80

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Solution

The fourth proportional to 595.45, 822.27 and 430.80 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.45 : 822.27 = 430.80 : x
  2. Step 2: Convert to fraction form
    595.45/822.27 = 430.80/x
  3. Step 3: Cross multiply
    595.45x = 822.27 × 430.80
  4. Step 4: Simplify right side
    595.45x = 354,233.92
  5. Step 5: Solve for x
    x = 354,233.92/595.45
  6. Step 6: Final answer
    x = 594.90

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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.