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Finding the Fourth Proportional to 556, 830.29 and 495.52

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Solution

The fourth proportional to 556, 830.29 and 495.52 is: 739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556 : 830.29 = 495.52 : x
  2. Step 2: Convert to fraction form
    556/830.29 = 495.52/x
  3. Step 3: Cross multiply
    556x = 830.29 × 495.52
  4. Step 4: Simplify right side
    556x = 411,425.30
  5. Step 5: Solve for x
    x = 411,425.30/556
  6. Step 6: Final answer
    x = 739.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.