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Finding the Fourth Proportional to 993.54, 1,492.72 and 876.90

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Solution

The fourth proportional to 993.54, 1,492.72 and 876.90 is: 1,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.54 : 1,492.72 = 876.90 : x
  2. Step 2: Convert to fraction form
    993.54/1,492.72 = 876.90/x
  3. Step 3: Cross multiply
    993.54x = 1,492.72 × 876.90
  4. Step 4: Simplify right side
    993.54x = 1,308,963.98
  5. Step 5: Solve for x
    x = 1,308,963.98/993.54
  6. Step 6: Final answer
    x = 1,317.47

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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.