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Finding the Fourth Proportional to 601.46, 830.38 and 415.28

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Solution

The fourth proportional to 601.46, 830.38 and 415.28 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 830.38 = 415.28 : x
  2. Step 2: Convert to fraction form
    601.46/830.38 = 415.28/x
  3. Step 3: Cross multiply
    601.46x = 830.38 × 415.28
  4. Step 4: Simplify right side
    601.46x = 344,840.21
  5. Step 5: Solve for x
    x = 344,840.21/601.46
  6. Step 6: Final answer
    x = 573.34

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.