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Finding the Fourth Proportional to 561.36, 840.96 and 470.64

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Solution

The fourth proportional to 561.36, 840.96 and 470.64 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.36 : 840.96 = 470.64 : x
  2. Step 2: Convert to fraction form
    561.36/840.96 = 470.64/x
  3. Step 3: Cross multiply
    561.36x = 840.96 × 470.64
  4. Step 4: Simplify right side
    561.36x = 395,789.41
  5. Step 5: Solve for x
    x = 395,789.41/561.36
  6. Step 6: Final answer
    x = 705.05

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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.