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Finding the Fourth Proportional to 557.18, 838.91 and 459.47

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Solution

The fourth proportional to 557.18, 838.91 and 459.47 is: 691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.18 : 838.91 = 459.47 : x
  2. Step 2: Convert to fraction form
    557.18/838.91 = 459.47/x
  3. Step 3: Cross multiply
    557.18x = 838.91 × 459.47
  4. Step 4: Simplify right side
    557.18x = 385,454.64
  5. Step 5: Solve for x
    x = 385,454.64/557.18
  6. Step 6: Final answer
    x = 691.80

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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.