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Finding the Fourth Proportional to 706.99, 1,060.38 and 390.46

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Solution

The fourth proportional to 706.99, 1,060.38 and 390.46 is: 585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.99 : 1,060.38 = 390.46 : x
  2. Step 2: Convert to fraction form
    706.99/1,060.38 = 390.46/x
  3. Step 3: Cross multiply
    706.99x = 1,060.38 × 390.46
  4. Step 4: Simplify right side
    706.99x = 414,035.97
  5. Step 5: Solve for x
    x = 414,035.97/706.99
  6. Step 6: Final answer
    x = 585.63

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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.