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Finding the Fourth Proportional to 561.27, 840.66 and 547.50

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Solution

The fourth proportional to 561.27, 840.66 and 547.50 is: 820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.27 : 840.66 = 547.50 : x
  2. Step 2: Convert to fraction form
    561.27/840.66 = 547.50/x
  3. Step 3: Cross multiply
    561.27x = 840.66 × 547.50
  4. Step 4: Simplify right side
    561.27x = 460,261.35
  5. Step 5: Solve for x
    x = 460,261.35/561.27
  6. Step 6: Final answer
    x = 820.04

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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.