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Finding the Fourth Proportional to 561.74, 838.35 and 547.16

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Solution

The fourth proportional to 561.74, 838.35 and 547.16 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 838.35 = 547.16 : x
  2. Step 2: Convert to fraction form
    561.74/838.35 = 547.16/x
  3. Step 3: Cross multiply
    561.74x = 838.35 × 547.16
  4. Step 4: Simplify right side
    561.74x = 458,707.39
  5. Step 5: Solve for x
    x = 458,707.39/561.74
  6. Step 6: Final answer
    x = 816.59

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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.