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Finding the Fourth Proportional to 601.62, 905.76 and 551.40

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Solution

The fourth proportional to 601.62, 905.76 and 551.40 is: 830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 905.76 = 551.40 : x
  2. Step 2: Convert to fraction form
    601.62/905.76 = 551.40/x
  3. Step 3: Cross multiply
    601.62x = 905.76 × 551.40
  4. Step 4: Simplify right side
    601.62x = 499,436.06
  5. Step 5: Solve for x
    x = 499,436.06/601.62
  6. Step 6: Final answer
    x = 830.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.