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Finding the Fourth Proportional to 851.04, 1,174.56 and 501.84

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Solution

The fourth proportional to 851.04, 1,174.56 and 501.84 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.04 : 1,174.56 = 501.84 : x
  2. Step 2: Convert to fraction form
    851.04/1,174.56 = 501.84/x
  3. Step 3: Cross multiply
    851.04x = 1,174.56 × 501.84
  4. Step 4: Simplify right side
    851.04x = 589,441.19
  5. Step 5: Solve for x
    x = 589,441.19/851.04
  6. Step 6: Final answer
    x = 692.61

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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.