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Finding the Fourth Proportional to 555.60, 831.78 and 433.98

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Solution

The fourth proportional to 555.60, 831.78 and 433.98 is: 649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.60 : 831.78 = 433.98 : x
  2. Step 2: Convert to fraction form
    555.60/831.78 = 433.98/x
  3. Step 3: Cross multiply
    555.60x = 831.78 × 433.98
  4. Step 4: Simplify right side
    555.60x = 360,975.88
  5. Step 5: Solve for x
    x = 360,975.88/555.60
  6. Step 6: Final answer
    x = 649.70

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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.