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Finding the Fourth Proportional to 579.96, 805.14 and 562.14

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Solution

The fourth proportional to 579.96, 805.14 and 562.14 is: 780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 805.14 = 562.14 : x
  2. Step 2: Convert to fraction form
    579.96/805.14 = 562.14/x
  3. Step 3: Cross multiply
    579.96x = 805.14 × 562.14
  4. Step 4: Simplify right side
    579.96x = 452,601.40
  5. Step 5: Solve for x
    x = 452,601.40/579.96
  6. Step 6: Final answer
    x = 780.40

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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.