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Finding the Fourth Proportional to 652.64, 977.58 and 446.24

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Solution

The fourth proportional to 652.64, 977.58 and 446.24 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 977.58 = 446.24 : x
  2. Step 2: Convert to fraction form
    652.64/977.58 = 446.24/x
  3. Step 3: Cross multiply
    652.64x = 977.58 × 446.24
  4. Step 4: Simplify right side
    652.64x = 436,235.30
  5. Step 5: Solve for x
    x = 436,235.30/652.64
  6. Step 6: Final answer
    x = 668.42

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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.