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Finding the Fourth Proportional to 464.40, 696.72 and 383.04

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Solution

The fourth proportional to 464.40, 696.72 and 383.04 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 696.72 = 383.04 : x
  2. Step 2: Convert to fraction form
    464.40/696.72 = 383.04/x
  3. Step 3: Cross multiply
    464.40x = 696.72 × 383.04
  4. Step 4: Simplify right side
    464.40x = 266,871.63
  5. Step 5: Solve for x
    x = 266,871.63/464.40
  6. Step 6: Final answer
    x = 574.66

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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.