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Finding the Fourth Proportional to 644.80, 887.76 and 546.40

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Solution

The fourth proportional to 644.80, 887.76 and 546.40 is: 752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 887.76 = 546.40 : x
  2. Step 2: Convert to fraction form
    644.80/887.76 = 546.40/x
  3. Step 3: Cross multiply
    644.80x = 887.76 × 546.40
  4. Step 4: Simplify right side
    644.80x = 485,072.06
  5. Step 5: Solve for x
    x = 485,072.06/644.80
  6. Step 6: Final answer
    x = 752.28

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1.5x scale

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.