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Finding the Fourth Proportional to 1,146.25, 1,711.16 and 971.74

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Solution

The fourth proportional to 1,146.25, 1,711.16 and 971.74 is: 1,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.25 : 1,711.16 = 971.74 : x
  2. Step 2: Convert to fraction form
    1,146.25/1,711.16 = 971.74/x
  3. Step 3: Cross multiply
    1,146.25x = 1,711.16 × 971.74
  4. Step 4: Simplify right side
    1,146.25x = 1,662,802.62
  5. Step 5: Solve for x
    x = 1,662,802.62/1,146.25
  6. Step 6: Final answer
    x = 1,450.65

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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.