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Finding the Fourth Proportional to 1,165.45, 1,746.15 and 971.70

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Solution

The fourth proportional to 1,165.45, 1,746.15 and 971.70 is: 1,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.45 : 1,746.15 = 971.70 : x
  2. Step 2: Convert to fraction form
    1,165.45/1,746.15 = 971.70/x
  3. Step 3: Cross multiply
    1,165.45x = 1,746.15 × 971.70
  4. Step 4: Simplify right side
    1,165.45x = 1,696,733.96
  5. Step 5: Solve for x
    x = 1,696,733.96/1,165.45
  6. Step 6: Final answer
    x = 1,455.86

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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.