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Finding the Fourth Proportional to 706.16, 974.70 and 639.36

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Solution

The fourth proportional to 706.16, 974.70 and 639.36 is: 882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 974.70 = 639.36 : x
  2. Step 2: Convert to fraction form
    706.16/974.70 = 639.36/x
  3. Step 3: Cross multiply
    706.16x = 974.70 × 639.36
  4. Step 4: Simplify right side
    706.16x = 623,184.19
  5. Step 5: Solve for x
    x = 623,184.19/706.16
  6. Step 6: Final answer
    x = 882.50

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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.