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Finding the Fourth Proportional to 561.87, 837.54 and 561.06

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Solution

The fourth proportional to 561.87, 837.54 and 561.06 is: 836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 837.54 = 561.06 : x
  2. Step 2: Convert to fraction form
    561.87/837.54 = 561.06/x
  3. Step 3: Cross multiply
    561.87x = 837.54 × 561.06
  4. Step 4: Simplify right side
    561.87x = 469,910.19
  5. Step 5: Solve for x
    x = 469,910.19/561.87
  6. Step 6: Final answer
    x = 836.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.