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Finding the Fourth Proportional to 477.63, 712.94 and 473.58

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Solution

The fourth proportional to 477.63, 712.94 and 473.58 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 712.94 = 473.58 : x
  2. Step 2: Convert to fraction form
    477.63/712.94 = 473.58/x
  3. Step 3: Cross multiply
    477.63x = 712.94 × 473.58
  4. Step 4: Simplify right side
    477.63x = 337,631.76
  5. Step 5: Solve for x
    x = 337,631.76/477.63
  6. Step 6: Final answer
    x = 706.89

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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.