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Finding the Fourth Proportional to 993.65, 1,491.03 and 917.15

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Solution

The fourth proportional to 993.65, 1,491.03 and 917.15 is: 1,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.65 : 1,491.03 = 917.15 : x
  2. Step 2: Convert to fraction form
    993.65/1,491.03 = 917.15/x
  3. Step 3: Cross multiply
    993.65x = 1,491.03 × 917.15
  4. Step 4: Simplify right side
    993.65x = 1,367,490.71
  5. Step 5: Solve for x
    x = 1,367,490.71/993.65
  6. Step 6: Final answer
    x = 1,376.24

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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.