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Finding the Fourth Proportional to 555.84, 767.76 and 426.42

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Solution

The fourth proportional to 555.84, 767.76 and 426.42 is: 589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 767.76 = 426.42 : x
  2. Step 2: Convert to fraction form
    555.84/767.76 = 426.42/x
  3. Step 3: Cross multiply
    555.84x = 767.76 × 426.42
  4. Step 4: Simplify right side
    555.84x = 327,388.22
  5. Step 5: Solve for x
    x = 327,388.22/555.84
  6. Step 6: Final answer
    x = 589.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.