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Finding the Fourth Proportional to 555.42, 831.08 and 457.01

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Solution

The fourth proportional to 555.42, 831.08 and 457.01 is: 683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 831.08 = 457.01 : x
  2. Step 2: Convert to fraction form
    555.42/831.08 = 457.01/x
  3. Step 3: Cross multiply
    555.42x = 831.08 × 457.01
  4. Step 4: Simplify right side
    555.42x = 379,805.43
  5. Step 5: Solve for x
    x = 379,805.43/555.42
  6. Step 6: Final answer
    x = 683.82

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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.