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Finding the Fourth Proportional to 716.14, 987.60 and 569.26

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Solution

The fourth proportional to 716.14, 987.60 and 569.26 is: 785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.14 : 987.60 = 569.26 : x
  2. Step 2: Convert to fraction form
    716.14/987.60 = 569.26/x
  3. Step 3: Cross multiply
    716.14x = 987.60 × 569.26
  4. Step 4: Simplify right side
    716.14x = 562,201.18
  5. Step 5: Solve for x
    x = 562,201.18/716.14
  6. Step 6: Final answer
    x = 785.04

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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.