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Finding the Fourth Proportional to 1,178.48, 1,625.99 and 706.11

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Solution

The fourth proportional to 1,178.48, 1,625.99 and 706.11 is: 974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.48 : 1,625.99 = 706.11 : x
  2. Step 2: Convert to fraction form
    1,178.48/1,625.99 = 706.11/x
  3. Step 3: Cross multiply
    1,178.48x = 1,625.99 × 706.11
  4. Step 4: Simplify right side
    1,178.48x = 1,148,124.27
  5. Step 5: Solve for x
    x = 1,148,124.27/1,178.48
  6. Step 6: Final answer
    x = 974.25

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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.