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Finding the Fourth Proportional to 706.21, 973.35 and 469.73

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Solution

The fourth proportional to 706.21, 973.35 and 469.73 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.21 : 973.35 = 469.73 : x
  2. Step 2: Convert to fraction form
    706.21/973.35 = 469.73/x
  3. Step 3: Cross multiply
    706.21x = 973.35 × 469.73
  4. Step 4: Simplify right side
    706.21x = 457,210.59
  5. Step 5: Solve for x
    x = 457,210.59/706.21
  6. Step 6: Final answer
    x = 647.42

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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.