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Finding the Fourth Proportional to 1,257.76, 1,885.12 and 607.68

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Solution

The fourth proportional to 1,257.76, 1,885.12 and 607.68 is: 910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.76 : 1,885.12 = 607.68 : x
  2. Step 2: Convert to fraction form
    1,257.76/1,885.12 = 607.68/x
  3. Step 3: Cross multiply
    1,257.76x = 1,885.12 × 607.68
  4. Step 4: Simplify right side
    1,257.76x = 1,145,549.72
  5. Step 5: Solve for x
    x = 1,145,549.72/1,257.76
  6. Step 6: Final answer
    x = 910.79

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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.