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Finding the Fourth Proportional to 1,178.34, 1,624.62 and 757.99

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Solution

The fourth proportional to 1,178.34, 1,624.62 and 757.99 is: 1,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,624.62 = 757.99 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,624.62 = 757.99/x
  3. Step 3: Cross multiply
    1,178.34x = 1,624.62 × 757.99
  4. Step 4: Simplify right side
    1,178.34x = 1,231,445.71
  5. Step 5: Solve for x
    x = 1,231,445.71/1,178.34
  6. Step 6: Final answer
    x = 1,045.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.