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Finding the Fourth Proportional to 917.98, 1,369.46 and 892.87

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Solution

The fourth proportional to 917.98, 1,369.46 and 892.87 is: 1,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.98 : 1,369.46 = 892.87 : x
  2. Step 2: Convert to fraction form
    917.98/1,369.46 = 892.87/x
  3. Step 3: Cross multiply
    917.98x = 1,369.46 × 892.87
  4. Step 4: Simplify right side
    917.98x = 1,222,751.24
  5. Step 5: Solve for x
    x = 1,222,751.24/917.98
  6. Step 6: Final answer
    x = 1,332.00

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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.