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Finding the Fourth Proportional to 830.46, 1,239.84 and 634.43

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Solution

The fourth proportional to 830.46, 1,239.84 and 634.43 is: 947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.46 : 1,239.84 = 634.43 : x
  2. Step 2: Convert to fraction form
    830.46/1,239.84 = 634.43/x
  3. Step 3: Cross multiply
    830.46x = 1,239.84 × 634.43
  4. Step 4: Simplify right side
    830.46x = 786,582.32
  5. Step 5: Solve for x
    x = 786,582.32/830.46
  6. Step 6: Final answer
    x = 947.16

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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.