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Finding the Fourth Proportional to 706.05, 973.35 and 457.38

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Solution

The fourth proportional to 706.05, 973.35 and 457.38 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 973.35 = 457.38 : x
  2. Step 2: Convert to fraction form
    706.05/973.35 = 457.38/x
  3. Step 3: Cross multiply
    706.05x = 973.35 × 457.38
  4. Step 4: Simplify right side
    706.05x = 445,190.82
  5. Step 5: Solve for x
    x = 445,190.82/706.05
  6. Step 6: Final answer
    x = 630.54

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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.