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Finding the Fourth Proportional to 855.65, 1,180.82 and 501.83

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Solution

The fourth proportional to 855.65, 1,180.82 and 501.83 is: 692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.65 : 1,180.82 = 501.83 : x
  2. Step 2: Convert to fraction form
    855.65/1,180.82 = 501.83/x
  3. Step 3: Cross multiply
    855.65x = 1,180.82 × 501.83
  4. Step 4: Simplify right side
    855.65x = 592,562.49
  5. Step 5: Solve for x
    x = 592,562.49/855.65
  6. Step 6: Final answer
    x = 692.53

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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.