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Finding the Fourth Proportional to 551.00, 821.64 and 474.46

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Solution

The fourth proportional to 551.00, 821.64 and 474.46 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.00 : 821.64 = 474.46 : x
  2. Step 2: Convert to fraction form
    551.00/821.64 = 474.46/x
  3. Step 3: Cross multiply
    551.00x = 821.64 × 474.46
  4. Step 4: Simplify right side
    551.00x = 389,835.04
  5. Step 5: Solve for x
    x = 389,835.04/551.00
  6. Step 6: Final answer
    x = 707.50

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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.