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Finding the Fourth Proportional to 595.44, 891.79 and 429.86

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Solution

The fourth proportional to 595.44, 891.79 and 429.86 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 891.79 = 429.86 : x
  2. Step 2: Convert to fraction form
    595.44/891.79 = 429.86/x
  3. Step 3: Cross multiply
    595.44x = 891.79 × 429.86
  4. Step 4: Simplify right side
    595.44x = 383,342.70
  5. Step 5: Solve for x
    x = 383,342.70/595.44
  6. Step 6: Final answer
    x = 643.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.