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Finding the Fourth Proportional to 914.08, 1,261.12 and 634.20

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Solution

The fourth proportional to 914.08, 1,261.12 and 634.20 is: 874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.08 : 1,261.12 = 634.20 : x
  2. Step 2: Convert to fraction form
    914.08/1,261.12 = 634.20/x
  3. Step 3: Cross multiply
    914.08x = 1,261.12 × 634.20
  4. Step 4: Simplify right side
    914.08x = 799,802.30
  5. Step 5: Solve for x
    x = 799,802.30/914.08
  6. Step 6: Final answer
    x = 874.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.