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Finding the Fourth Proportional to 1,095.49, 1,641.39 and 956.98

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Solution

The fourth proportional to 1,095.49, 1,641.39 and 956.98 is: 1,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.49 : 1,641.39 = 956.98 : x
  2. Step 2: Convert to fraction form
    1,095.49/1,641.39 = 956.98/x
  3. Step 3: Cross multiply
    1,095.49x = 1,641.39 × 956.98
  4. Step 4: Simplify right side
    1,095.49x = 1,570,777.40
  5. Step 5: Solve for x
    x = 1,570,777.40/1,095.49
  6. Step 6: Final answer
    x = 1,433.86

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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.