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Finding the Fourth Proportional to 557.75, 838.15 and 552.89

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Solution

The fourth proportional to 557.75, 838.15 and 552.89 is: 830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.75 : 838.15 = 552.89 : x
  2. Step 2: Convert to fraction form
    557.75/838.15 = 552.89/x
  3. Step 3: Cross multiply
    557.75x = 838.15 × 552.89
  4. Step 4: Simplify right side
    557.75x = 463,405.47
  5. Step 5: Solve for x
    x = 463,405.47/557.75
  6. Step 6: Final answer
    x = 830.84

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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.