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Finding the Fourth Proportional to 1,117.05, 1,541.49 and 644.93

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Solution

The fourth proportional to 1,117.05, 1,541.49 and 644.93 is: 889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.05 : 1,541.49 = 644.93 : x
  2. Step 2: Convert to fraction form
    1,117.05/1,541.49 = 644.93/x
  3. Step 3: Cross multiply
    1,117.05x = 1,541.49 × 644.93
  4. Step 4: Simplify right side
    1,117.05x = 994,153.15
  5. Step 5: Solve for x
    x = 994,153.15/1,117.05
  6. Step 6: Final answer
    x = 889.98

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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.