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Finding the Fourth Proportional to 1,117, 1,541.40 and 644.88

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Solution

The fourth proportional to 1,117, 1,541.40 and 644.88 is: 889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117 : 1,541.40 = 644.88 : x
  2. Step 2: Convert to fraction form
    1,117/1,541.40 = 644.88/x
  3. Step 3: Cross multiply
    1,117x = 1,541.40 × 644.88
  4. Step 4: Simplify right side
    1,117x = 994,018.03
  5. Step 5: Solve for x
    x = 994,018.03/1,117
  6. Step 6: Final answer
    x = 889.90

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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.