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Finding the Fourth Proportional to 660.04, 988.44 and 543.76

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Solution

The fourth proportional to 660.04, 988.44 and 543.76 is: 814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.04 : 988.44 = 543.76 : x
  2. Step 2: Convert to fraction form
    660.04/988.44 = 543.76/x
  3. Step 3: Cross multiply
    660.04x = 988.44 × 543.76
  4. Step 4: Simplify right side
    660.04x = 537,474.13
  5. Step 5: Solve for x
    x = 537,474.13/660.04
  6. Step 6: Final answer
    x = 814.31

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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.