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Finding the Fourth Proportional to 601.08, 830.64 and 490.53

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Solution

The fourth proportional to 601.08, 830.64 and 490.53 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.08 : 830.64 = 490.53 : x
  2. Step 2: Convert to fraction form
    601.08/830.64 = 490.53/x
  3. Step 3: Cross multiply
    601.08x = 830.64 × 490.53
  4. Step 4: Simplify right side
    601.08x = 407,453.84
  5. Step 5: Solve for x
    x = 407,453.84/601.08
  6. Step 6: Final answer
    x = 677.87

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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.