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Finding the Fourth Proportional to 706.00, 974.47 and 485.50

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Solution

The fourth proportional to 706.00, 974.47 and 485.50 is: 670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.00 : 974.47 = 485.50 : x
  2. Step 2: Convert to fraction form
    706.00/974.47 = 485.50/x
  3. Step 3: Cross multiply
    706.00x = 974.47 × 485.50
  4. Step 4: Simplify right side
    706.00x = 473,100.31
  5. Step 5: Solve for x
    x = 473,100.31/706.00
  6. Step 6: Final answer
    x = 670.12

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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.