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Finding the Fourth Proportional to 561.65, 842.65 and 433.13

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Solution

The fourth proportional to 561.65, 842.65 and 433.13 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.65 : 842.65 = 433.13 : x
  2. Step 2: Convert to fraction form
    561.65/842.65 = 433.13/x
  3. Step 3: Cross multiply
    561.65x = 842.65 × 433.13
  4. Step 4: Simplify right side
    561.65x = 364,971.70
  5. Step 5: Solve for x
    x = 364,971.70/561.65
  6. Step 6: Final answer
    x = 649.83

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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.