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Finding the Fourth Proportional to 905.67, 1,358.34 and 358.02

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Solution

The fourth proportional to 905.67, 1,358.34 and 358.02 is: 536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.67 : 1,358.34 = 358.02 : x
  2. Step 2: Convert to fraction form
    905.67/1,358.34 = 358.02/x
  3. Step 3: Cross multiply
    905.67x = 1,358.34 × 358.02
  4. Step 4: Simplify right side
    905.67x = 486,312.89
  5. Step 5: Solve for x
    x = 486,312.89/905.67
  6. Step 6: Final answer
    x = 536.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.