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Finding the Fourth Proportional to 652.21, 977.59 and 523.04

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Solution

The fourth proportional to 652.21, 977.59 and 523.04 is: 783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.21 : 977.59 = 523.04 : x
  2. Step 2: Convert to fraction form
    652.21/977.59 = 523.04/x
  3. Step 3: Cross multiply
    652.21x = 977.59 × 523.04
  4. Step 4: Simplify right side
    652.21x = 511,318.67
  5. Step 5: Solve for x
    x = 511,318.67/652.21
  6. Step 6: Final answer
    x = 783.98

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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.