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Finding the Fourth Proportional to 1,755.91, 2,631.58 and 714.70

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Solution

The fourth proportional to 1,755.91, 2,631.58 and 714.70 is: 1,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.91 : 2,631.58 = 714.70 : x
  2. Step 2: Convert to fraction form
    1,755.91/2,631.58 = 714.70/x
  3. Step 3: Cross multiply
    1,755.91x = 2,631.58 × 714.70
  4. Step 4: Simplify right side
    1,755.91x = 1,880,790.23
  5. Step 5: Solve for x
    x = 1,880,790.23/1,755.91
  6. Step 6: Final answer
    x = 1,071.12

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1.5x scale

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.