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Finding the Fourth Proportional to 795.61, 1,193.62 and 429.90

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Solution

The fourth proportional to 795.61, 1,193.62 and 429.90 is: 644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,193.62 = 429.90 : x
  2. Step 2: Convert to fraction form
    795.61/1,193.62 = 429.90/x
  3. Step 3: Cross multiply
    795.61x = 1,193.62 × 429.90
  4. Step 4: Simplify right side
    795.61x = 513,132.49
  5. Step 5: Solve for x
    x = 513,132.49/795.61
  6. Step 6: Final answer
    x = 644.95

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