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Finding the Fourth Proportional to 993.62, 1,492.29 and 912.35

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Solution

The fourth proportional to 993.62, 1,492.29 and 912.35 is: 1,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.62 : 1,492.29 = 912.35 : x
  2. Step 2: Convert to fraction form
    993.62/1,492.29 = 912.35/x
  3. Step 3: Cross multiply
    993.62x = 1,492.29 × 912.35
  4. Step 4: Simplify right side
    993.62x = 1,361,494.51
  5. Step 5: Solve for x
    x = 1,361,494.51/993.62
  6. Step 6: Final answer
    x = 1,370.23

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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.