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Finding the Fourth Proportional to 628.34, 866.90 and 362.77

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Solution

The fourth proportional to 628.34, 866.90 and 362.77 is: 500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 866.90 = 362.77 : x
  2. Step 2: Convert to fraction form
    628.34/866.90 = 362.77/x
  3. Step 3: Cross multiply
    628.34x = 866.90 × 362.77
  4. Step 4: Simplify right side
    628.34x = 314,485.31
  5. Step 5: Solve for x
    x = 314,485.31/628.34
  6. Step 6: Final answer
    x = 500.50

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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.