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Finding the Fourth Proportional to 569.50, 785.18 and 421.88

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Solution

The fourth proportional to 569.50, 785.18 and 421.88 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 785.18 = 421.88 : x
  2. Step 2: Convert to fraction form
    569.50/785.18 = 421.88/x
  3. Step 3: Cross multiply
    569.50x = 785.18 × 421.88
  4. Step 4: Simplify right side
    569.50x = 331,251.74
  5. Step 5: Solve for x
    x = 331,251.74/569.50
  6. Step 6: Final answer
    x = 581.65

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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.