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Finding the Fourth Proportional to 614.54, 920.80 and 551.03

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Solution

The fourth proportional to 614.54, 920.80 and 551.03 is: 825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 920.80 = 551.03 : x
  2. Step 2: Convert to fraction form
    614.54/920.80 = 551.03/x
  3. Step 3: Cross multiply
    614.54x = 920.80 × 551.03
  4. Step 4: Simplify right side
    614.54x = 507,384.51
  5. Step 5: Solve for x
    x = 507,384.51/614.54
  6. Step 6: Final answer
    x = 825.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.