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Finding the Fourth Proportional to 993.87, 1,490.61 and 577.15

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Solution

The fourth proportional to 993.87, 1,490.61 and 577.15 is: 865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.87 : 1,490.61 = 577.15 : x
  2. Step 2: Convert to fraction form
    993.87/1,490.61 = 577.15/x
  3. Step 3: Cross multiply
    993.87x = 1,490.61 × 577.15
  4. Step 4: Simplify right side
    993.87x = 860,299.67
  5. Step 5: Solve for x
    x = 860,299.67/993.87
  6. Step 6: Final answer
    x = 865.60

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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.