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Finding the Fourth Proportional to 476.02, 708.89 and 470.62

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Solution

The fourth proportional to 476.02, 708.89 and 470.62 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 708.89 = 470.62 : x
  2. Step 2: Convert to fraction form
    476.02/708.89 = 470.62/x
  3. Step 3: Cross multiply
    476.02x = 708.89 × 470.62
  4. Step 4: Simplify right side
    476.02x = 333,617.81
  5. Step 5: Solve for x
    x = 333,617.81/476.02
  6. Step 6: Final answer
    x = 700.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.