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Finding the Fourth Proportional to 555.10, 831.36 and 438.77

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Solution

The fourth proportional to 555.10, 831.36 and 438.77 is: 657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.10 : 831.36 = 438.77 : x
  2. Step 2: Convert to fraction form
    555.10/831.36 = 438.77/x
  3. Step 3: Cross multiply
    555.10x = 831.36 × 438.77
  4. Step 4: Simplify right side
    555.10x = 364,770.03
  5. Step 5: Solve for x
    x = 364,770.03/555.10
  6. Step 6: Final answer
    x = 657.12

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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.