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Finding the Fourth Proportional to 561.49, 838.45 and 458.98

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Solution

The fourth proportional to 561.49, 838.45 and 458.98 is: 685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 838.45 = 458.98 : x
  2. Step 2: Convert to fraction form
    561.49/838.45 = 458.98/x
  3. Step 3: Cross multiply
    561.49x = 838.45 × 458.98
  4. Step 4: Simplify right side
    561.49x = 384,831.78
  5. Step 5: Solve for x
    x = 384,831.78/561.49
  6. Step 6: Final answer
    x = 685.38

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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.