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Finding the Fourth Proportional to 1,702.77, 2,554.16 and 971.97

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Solution

The fourth proportional to 1,702.77, 2,554.16 and 971.97 is: 1,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.77 : 2,554.16 = 971.97 : x
  2. Step 2: Convert to fraction form
    1,702.77/2,554.16 = 971.97/x
  3. Step 3: Cross multiply
    1,702.77x = 2,554.16 × 971.97
  4. Step 4: Simplify right side
    1,702.77x = 2,482,566.90
  5. Step 5: Solve for x
    x = 2,482,566.90/1,702.77
  6. Step 6: Final answer
    x = 1,457.96

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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.