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Finding the Fourth Proportional to 561.08, 845.78 and 465.50

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Solution

The fourth proportional to 561.08, 845.78 and 465.50 is: 701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.08 : 845.78 = 465.50 : x
  2. Step 2: Convert to fraction form
    561.08/845.78 = 465.50/x
  3. Step 3: Cross multiply
    561.08x = 845.78 × 465.50
  4. Step 4: Simplify right side
    561.08x = 393,710.59
  5. Step 5: Solve for x
    x = 393,710.59/561.08
  6. Step 6: Final answer
    x = 701.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.