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Finding the Fourth Proportional to 601.56, 897.12 and 523.80

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Solution

The fourth proportional to 601.56, 897.12 and 523.80 is: 781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 897.12 = 523.80 : x
  2. Step 2: Convert to fraction form
    601.56/897.12 = 523.80/x
  3. Step 3: Cross multiply
    601.56x = 897.12 × 523.80
  4. Step 4: Simplify right side
    601.56x = 469,911.46
  5. Step 5: Solve for x
    x = 469,911.46/601.56
  6. Step 6: Final answer
    x = 781.15

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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.