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Finding the Fourth Proportional to 917.48, 1,374.36 and 698.46

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Solution

The fourth proportional to 917.48, 1,374.36 and 698.46 is: 1,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.48 : 1,374.36 = 698.46 : x
  2. Step 2: Convert to fraction form
    917.48/1,374.36 = 698.46/x
  3. Step 3: Cross multiply
    917.48x = 1,374.36 × 698.46
  4. Step 4: Simplify right side
    917.48x = 959,935.49
  5. Step 5: Solve for x
    x = 959,935.49/917.48
  6. Step 6: Final answer
    x = 1,046.27

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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.