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Finding the Fourth Proportional to 555.14, 831.98 and 416.90

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Solution

The fourth proportional to 555.14, 831.98 and 416.90 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.14 : 831.98 = 416.90 : x
  2. Step 2: Convert to fraction form
    555.14/831.98 = 416.90/x
  3. Step 3: Cross multiply
    555.14x = 831.98 × 416.90
  4. Step 4: Simplify right side
    555.14x = 346,852.46
  5. Step 5: Solve for x
    x = 346,852.46/555.14
  6. Step 6: Final answer
    x = 624.80

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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.