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Finding the Fourth Proportional to 561.60, 840.80 and 345.60

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Solution

The fourth proportional to 561.60, 840.80 and 345.60 is: 517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 840.80 = 345.60 : x
  2. Step 2: Convert to fraction form
    561.60/840.80 = 345.60/x
  3. Step 3: Cross multiply
    561.60x = 840.80 × 345.60
  4. Step 4: Simplify right side
    561.60x = 290,580.48
  5. Step 5: Solve for x
    x = 290,580.48/561.60
  6. Step 6: Final answer
    x = 517.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.