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Finding the Fourth Proportional to 631.29, 946.61 and 473.67

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Solution

The fourth proportional to 631.29, 946.61 and 473.67 is: 710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.29 : 946.61 = 473.67 : x
  2. Step 2: Convert to fraction form
    631.29/946.61 = 473.67/x
  3. Step 3: Cross multiply
    631.29x = 946.61 × 473.67
  4. Step 4: Simplify right side
    631.29x = 448,382.83
  5. Step 5: Solve for x
    x = 448,382.83/631.29
  6. Step 6: Final answer
    x = 710.27

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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.