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Finding the Fourth Proportional to 1,606.34, 2,407.08 and 784.46

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Solution

The fourth proportional to 1,606.34, 2,407.08 and 784.46 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.34 : 2,407.08 = 784.46 : x
  2. Step 2: Convert to fraction form
    1,606.34/2,407.08 = 784.46/x
  3. Step 3: Cross multiply
    1,606.34x = 2,407.08 × 784.46
  4. Step 4: Simplify right side
    1,606.34x = 1,888,257.98
  5. Step 5: Solve for x
    x = 1,888,257.98/1,606.34
  6. Step 6: Final answer
    x = 1,175.50

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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.