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Finding the Fourth Proportional to 855.65, 1,180.73 and 501.57

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Solution

The fourth proportional to 855.65, 1,180.73 and 501.57 is: 692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.65 : 1,180.73 = 501.57 : x
  2. Step 2: Convert to fraction form
    855.65/1,180.73 = 501.57/x
  3. Step 3: Cross multiply
    855.65x = 1,180.73 × 501.57
  4. Step 4: Simplify right side
    855.65x = 592,220.00
  5. Step 5: Solve for x
    x = 592,220.00/855.65
  6. Step 6: Final answer
    x = 692.13

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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.