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Finding the Fourth Proportional to 476.83, 715.65 and 282.03

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Solution

The fourth proportional to 476.83, 715.65 and 282.03 is: 423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.83 : 715.65 = 282.03 : x
  2. Step 2: Convert to fraction form
    476.83/715.65 = 282.03/x
  3. Step 3: Cross multiply
    476.83x = 715.65 × 282.03
  4. Step 4: Simplify right side
    476.83x = 201,834.77
  5. Step 5: Solve for x
    x = 201,834.77/476.83
  6. Step 6: Final answer
    x = 423.28

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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.