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Finding the Fourth Proportional to 706.22, 973.30 and 581.08

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Solution

The fourth proportional to 706.22, 973.30 and 581.08 is: 800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 973.30 = 581.08 : x
  2. Step 2: Convert to fraction form
    706.22/973.30 = 581.08/x
  3. Step 3: Cross multiply
    706.22x = 973.30 × 581.08
  4. Step 4: Simplify right side
    706.22x = 565,565.16
  5. Step 5: Solve for x
    x = 565,565.16/706.22
  6. Step 6: Final answer
    x = 800.83

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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.