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Finding the Fourth Proportional to 544.90, 751.85 and 312.10

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Solution

The fourth proportional to 544.90, 751.85 and 312.10 is: 430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.90 : 751.85 = 312.10 : x
  2. Step 2: Convert to fraction form
    544.90/751.85 = 312.10/x
  3. Step 3: Cross multiply
    544.90x = 751.85 × 312.10
  4. Step 4: Simplify right side
    544.90x = 234,652.39
  5. Step 5: Solve for x
    x = 234,652.39/544.90
  6. Step 6: Final answer
    x = 430.63

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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.