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Finding the Fourth Proportional to 569.59, 785.97 and 491.02

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Solution

The fourth proportional to 569.59, 785.97 and 491.02 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.59 : 785.97 = 491.02 : x
  2. Step 2: Convert to fraction form
    569.59/785.97 = 491.02/x
  3. Step 3: Cross multiply
    569.59x = 785.97 × 491.02
  4. Step 4: Simplify right side
    569.59x = 385,926.99
  5. Step 5: Solve for x
    x = 385,926.99/569.59
  6. Step 6: Final answer
    x = 677.55

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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.