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Finding the Fourth Proportional to 1,708.17, 2,558.80 and 782.46

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Solution

The fourth proportional to 1,708.17, 2,558.80 and 782.46 is: 1,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.17 : 2,558.80 = 782.46 : x
  2. Step 2: Convert to fraction form
    1,708.17/2,558.80 = 782.46/x
  3. Step 3: Cross multiply
    1,708.17x = 2,558.80 × 782.46
  4. Step 4: Simplify right side
    1,708.17x = 2,002,158.65
  5. Step 5: Solve for x
    x = 2,002,158.65/1,708.17
  6. Step 6: Final answer
    x = 1,172.11

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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.