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Finding the Fourth Proportional to 566.06, 784.49 and 557.42

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Solution

The fourth proportional to 566.06, 784.49 and 557.42 is: 772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 784.49 = 557.42 : x
  2. Step 2: Convert to fraction form
    566.06/784.49 = 557.42/x
  3. Step 3: Cross multiply
    566.06x = 784.49 × 557.42
  4. Step 4: Simplify right side
    566.06x = 437,283.71
  5. Step 5: Solve for x
    x = 437,283.71/566.06
  6. Step 6: Final answer
    x = 772.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.