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Finding the Fourth Proportional to 665.65, 999.65 and 575.83

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Solution

The fourth proportional to 665.65, 999.65 and 575.83 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.65 : 999.65 = 575.83 : x
  2. Step 2: Convert to fraction form
    665.65/999.65 = 575.83/x
  3. Step 3: Cross multiply
    665.65x = 999.65 × 575.83
  4. Step 4: Simplify right side
    665.65x = 575,628.46
  5. Step 5: Solve for x
    x = 575,628.46/665.65
  6. Step 6: Final answer
    x = 864.76

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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.