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Finding the Fourth Proportional to 1,703.98, 2,556.80 and 973.76

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Solution

The fourth proportional to 1,703.98, 2,556.80 and 973.76 is: 1,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.98 : 2,556.80 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,703.98/2,556.80 = 973.76/x
  3. Step 3: Cross multiply
    1,703.98x = 2,556.80 × 973.76
  4. Step 4: Simplify right side
    1,703.98x = 2,489,704.70
  5. Step 5: Solve for x
    x = 2,489,704.70/1,703.98
  6. Step 6: Final answer
    x = 1,461.12

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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.