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Finding the Fourth Proportional to 569.31, 785.88 and 553.71

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Solution

The fourth proportional to 569.31, 785.88 and 553.71 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 785.88 = 553.71 : x
  2. Step 2: Convert to fraction form
    569.31/785.88 = 553.71/x
  3. Step 3: Cross multiply
    569.31x = 785.88 × 553.71
  4. Step 4: Simplify right side
    569.31x = 435,149.61
  5. Step 5: Solve for x
    x = 435,149.61/569.31
  6. Step 6: Final answer
    x = 764.35

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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.