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Finding the Fourth Proportional to 946.35, 1,416.86 and 637.59

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Solution

The fourth proportional to 946.35, 1,416.86 and 637.59 is: 954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.35 : 1,416.86 = 637.59 : x
  2. Step 2: Convert to fraction form
    946.35/1,416.86 = 637.59/x
  3. Step 3: Cross multiply
    946.35x = 1,416.86 × 637.59
  4. Step 4: Simplify right side
    946.35x = 903,372.58
  5. Step 5: Solve for x
    x = 903,372.58/946.35
  6. Step 6: Final answer
    x = 954.59

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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.