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Finding the Fourth Proportional to 480.28, 715.40 and 473.90

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Solution

The fourth proportional to 480.28, 715.40 and 473.90 is: 705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.28 : 715.40 = 473.90 : x
  2. Step 2: Convert to fraction form
    480.28/715.40 = 473.90/x
  3. Step 3: Cross multiply
    480.28x = 715.40 × 473.90
  4. Step 4: Simplify right side
    480.28x = 339,022.11
  5. Step 5: Solve for x
    x = 339,022.11/480.28
  6. Step 6: Final answer
    x = 705.89

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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.