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Finding the Fourth Proportional to 1,708.90, 2,561.55 and 976.90

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Solution

The fourth proportional to 1,708.90, 2,561.55 and 976.90 is: 1,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.90 : 2,561.55 = 976.90 : x
  2. Step 2: Convert to fraction form
    1,708.90/2,561.55 = 976.90/x
  3. Step 3: Cross multiply
    1,708.90x = 2,561.55 × 976.90
  4. Step 4: Simplify right side
    1,708.90x = 2,502,378.20
  5. Step 5: Solve for x
    x = 2,502,378.20/1,708.90
  6. Step 6: Final answer
    x = 1,464.32

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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.