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Finding the Fourth Proportional to 561.86, 847.28 and 554.16

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Solution

The fourth proportional to 561.86, 847.28 and 554.16 is: 835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.86 : 847.28 = 554.16 : x
  2. Step 2: Convert to fraction form
    561.86/847.28 = 554.16/x
  3. Step 3: Cross multiply
    561.86x = 847.28 × 554.16
  4. Step 4: Simplify right side
    561.86x = 469,533.25
  5. Step 5: Solve for x
    x = 469,533.25/561.86
  6. Step 6: Final answer
    x = 835.68

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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.