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Finding the Fourth Proportional to 569.66, 785.67 and 429.80

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Solution

The fourth proportional to 569.66, 785.67 and 429.80 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 785.67 = 429.80 : x
  2. Step 2: Convert to fraction form
    569.66/785.67 = 429.80/x
  3. Step 3: Cross multiply
    569.66x = 785.67 × 429.80
  4. Step 4: Simplify right side
    569.66x = 337,677.04
  5. Step 5: Solve for x
    x = 337,677.04/569.66
  6. Step 6: Final answer
    x = 592.77

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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.