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Finding the Fourth Proportional to 661.96, 988.07 and 575.90

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Solution

The fourth proportional to 661.96, 988.07 and 575.90 is: 859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.96 : 988.07 = 575.90 : x
  2. Step 2: Convert to fraction form
    661.96/988.07 = 575.90/x
  3. Step 3: Cross multiply
    661.96x = 988.07 × 575.90
  4. Step 4: Simplify right side
    661.96x = 569,029.51
  5. Step 5: Solve for x
    x = 569,029.51/661.96
  6. Step 6: Final answer
    x = 859.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.