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Finding the Fourth Proportional to 707.09, 1,060.82 and 322.25

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Solution

The fourth proportional to 707.09, 1,060.82 and 322.25 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.09 : 1,060.82 = 322.25 : x
  2. Step 2: Convert to fraction form
    707.09/1,060.82 = 322.25/x
  3. Step 3: Cross multiply
    707.09x = 1,060.82 × 322.25
  4. Step 4: Simplify right side
    707.09x = 341,849.25
  5. Step 5: Solve for x
    x = 341,849.25/707.09
  6. Step 6: Final answer
    x = 483.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.