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Finding the Fourth Proportional to 601.72, 830.66 and 402.88

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Solution

The fourth proportional to 601.72, 830.66 and 402.88 is: 556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 830.66 = 402.88 : x
  2. Step 2: Convert to fraction form
    601.72/830.66 = 402.88/x
  3. Step 3: Cross multiply
    601.72x = 830.66 × 402.88
  4. Step 4: Simplify right side
    601.72x = 334,656.30
  5. Step 5: Solve for x
    x = 334,656.30/601.72
  6. Step 6: Final answer
    x = 556.17

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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.