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Finding the Fourth Proportional to 473.28, 705.36 and 463.68

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Solution

The fourth proportional to 473.28, 705.36 and 463.68 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 705.36 = 463.68 : x
  2. Step 2: Convert to fraction form
    473.28/705.36 = 463.68/x
  3. Step 3: Cross multiply
    473.28x = 705.36 × 463.68
  4. Step 4: Simplify right side
    473.28x = 327,061.32
  5. Step 5: Solve for x
    x = 327,061.32/473.28
  6. Step 6: Final answer
    x = 691.05

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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.