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Finding the Fourth Proportional to 706.46, 1,058.72 and 336.20

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Solution

The fourth proportional to 706.46, 1,058.72 and 336.20 is: 503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,058.72 = 336.20 : x
  2. Step 2: Convert to fraction form
    706.46/1,058.72 = 336.20/x
  3. Step 3: Cross multiply
    706.46x = 1,058.72 × 336.20
  4. Step 4: Simplify right side
    706.46x = 355,939.98
  5. Step 5: Solve for x
    x = 355,939.98/706.46
  6. Step 6: Final answer
    x = 503.84

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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.