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Finding the Fourth Proportional to 914.04, 1,260.90 and 664.95

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Solution

The fourth proportional to 914.04, 1,260.90 and 664.95 is: 917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.04 : 1,260.90 = 664.95 : x
  2. Step 2: Convert to fraction form
    914.04/1,260.90 = 664.95/x
  3. Step 3: Cross multiply
    914.04x = 1,260.90 × 664.95
  4. Step 4: Simplify right side
    914.04x = 838,435.46
  5. Step 5: Solve for x
    x = 838,435.46/914.04
  6. Step 6: Final answer
    x = 917.29

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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.