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Finding the Fourth Proportional to 951.09, 1,418.87 and 924.63

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Solution

The fourth proportional to 951.09, 1,418.87 and 924.63 is: 1,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.09 : 1,418.87 = 924.63 : x
  2. Step 2: Convert to fraction form
    951.09/1,418.87 = 924.63/x
  3. Step 3: Cross multiply
    951.09x = 1,418.87 × 924.63
  4. Step 4: Simplify right side
    951.09x = 1,311,925.14
  5. Step 5: Solve for x
    x = 1,311,925.14/951.09
  6. Step 6: Final answer
    x = 1,379.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.