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Finding the Fourth Proportional to 477.60, 712.12 and 473.34

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Solution

The fourth proportional to 477.60, 712.12 and 473.34 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 712.12 = 473.34 : x
  2. Step 2: Convert to fraction form
    477.60/712.12 = 473.34/x
  3. Step 3: Cross multiply
    477.60x = 712.12 × 473.34
  4. Step 4: Simplify right side
    477.60x = 337,073.70
  5. Step 5: Solve for x
    x = 337,073.70/477.60
  6. Step 6: Final answer
    x = 705.77

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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.