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Finding the Fourth Proportional to 1,178.57, 1,625.30 and 706.39

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Solution

The fourth proportional to 1,178.57, 1,625.30 and 706.39 is: 974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.57 : 1,625.30 = 706.39 : x
  2. Step 2: Convert to fraction form
    1,178.57/1,625.30 = 706.39/x
  3. Step 3: Cross multiply
    1,178.57x = 1,625.30 × 706.39
  4. Step 4: Simplify right side
    1,178.57x = 1,148,095.67
  5. Step 5: Solve for x
    x = 1,148,095.67/1,178.57
  6. Step 6: Final answer
    x = 974.14

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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.