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Finding the Fourth Proportional to 601.84, 904.02 and 521.56

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Solution

The fourth proportional to 601.84, 904.02 and 521.56 is: 783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 904.02 = 521.56 : x
  2. Step 2: Convert to fraction form
    601.84/904.02 = 521.56/x
  3. Step 3: Cross multiply
    601.84x = 904.02 × 521.56
  4. Step 4: Simplify right side
    601.84x = 471,500.67
  5. Step 5: Solve for x
    x = 471,500.67/601.84
  6. Step 6: Final answer
    x = 783.43

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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.