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Finding the Fourth Proportional to 569.14, 788.72 and 562.18

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Solution

The fourth proportional to 569.14, 788.72 and 562.18 is: 779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 788.72 = 562.18 : x
  2. Step 2: Convert to fraction form
    569.14/788.72 = 562.18/x
  3. Step 3: Cross multiply
    569.14x = 788.72 × 562.18
  4. Step 4: Simplify right side
    569.14x = 443,402.61
  5. Step 5: Solve for x
    x = 443,402.61/569.14
  6. Step 6: Final answer
    x = 779.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.