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Finding the Fourth Proportional to 985.64, 1,360.10 and 543.44

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Solution

The fourth proportional to 985.64, 1,360.10 and 543.44 is: 749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.64 : 1,360.10 = 543.44 : x
  2. Step 2: Convert to fraction form
    985.64/1,360.10 = 543.44/x
  3. Step 3: Cross multiply
    985.64x = 1,360.10 × 543.44
  4. Step 4: Simplify right side
    985.64x = 739,132.74
  5. Step 5: Solve for x
    x = 739,132.74/985.64
  6. Step 6: Final answer
    x = 749.90

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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.