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Finding the Fourth Proportional to 706.39, 973.65 and 647.56

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Solution

The fourth proportional to 706.39, 973.65 and 647.56 is: 892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.39 : 973.65 = 647.56 : x
  2. Step 2: Convert to fraction form
    706.39/973.65 = 647.56/x
  3. Step 3: Cross multiply
    706.39x = 973.65 × 647.56
  4. Step 4: Simplify right side
    706.39x = 630,496.79
  5. Step 5: Solve for x
    x = 630,496.79/706.39
  6. Step 6: Final answer
    x = 892.56

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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.