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Finding the Fourth Proportional to 1,117.40, 1,674.78 and 630.92

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Solution

The fourth proportional to 1,117.40, 1,674.78 and 630.92 is: 945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.40 : 1,674.78 = 630.92 : x
  2. Step 2: Convert to fraction form
    1,117.40/1,674.78 = 630.92/x
  3. Step 3: Cross multiply
    1,117.40x = 1,674.78 × 630.92
  4. Step 4: Simplify right side
    1,117.40x = 1,056,652.20
  5. Step 5: Solve for x
    x = 1,056,652.20/1,117.40
  6. Step 6: Final answer
    x = 945.63

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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.