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Finding the Fourth Proportional to 476.72, 715.77 and 464.42

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Solution

The fourth proportional to 476.72, 715.77 and 464.42 is: 697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 715.77 = 464.42 : x
  2. Step 2: Convert to fraction form
    476.72/715.77 = 464.42/x
  3. Step 3: Cross multiply
    476.72x = 715.77 × 464.42
  4. Step 4: Simplify right side
    476.72x = 332,417.90
  5. Step 5: Solve for x
    x = 332,417.90/476.72
  6. Step 6: Final answer
    x = 697.30

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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.