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Finding the Fourth Proportional to 568.22, 784.47 and 402.77

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Solution

The fourth proportional to 568.22, 784.47 and 402.77 is: 556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.22 : 784.47 = 402.77 : x
  2. Step 2: Convert to fraction form
    568.22/784.47 = 402.77/x
  3. Step 3: Cross multiply
    568.22x = 784.47 × 402.77
  4. Step 4: Simplify right side
    568.22x = 315,957.06
  5. Step 5: Solve for x
    x = 315,957.06/568.22
  6. Step 6: Final answer
    x = 556.05

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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.