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Finding the Fourth Proportional to 631.98, 946.90 and 448.46

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Solution

The fourth proportional to 631.98, 946.90 and 448.46 is: 671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 946.90 = 448.46 : x
  2. Step 2: Convert to fraction form
    631.98/946.90 = 448.46/x
  3. Step 3: Cross multiply
    631.98x = 946.90 × 448.46
  4. Step 4: Simplify right side
    631.98x = 424,646.77
  5. Step 5: Solve for x
    x = 424,646.77/631.98
  6. Step 6: Final answer
    x = 671.93

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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.