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Finding the Fourth Proportional to 706.09, 973.96 and 509.89

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Solution

The fourth proportional to 706.09, 973.96 and 509.89 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.09 : 973.96 = 509.89 : x
  2. Step 2: Convert to fraction form
    706.09/973.96 = 509.89/x
  3. Step 3: Cross multiply
    706.09x = 973.96 × 509.89
  4. Step 4: Simplify right side
    706.09x = 496,612.46
  5. Step 5: Solve for x
    x = 496,612.46/706.09
  6. Step 6: Final answer
    x = 703.33

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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.