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Finding the Fourth Proportional to 867.30, 1,301.46 and 404.94

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Solution

The fourth proportional to 867.30, 1,301.46 and 404.94 is: 607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.30 : 1,301.46 = 404.94 : x
  2. Step 2: Convert to fraction form
    867.30/1,301.46 = 404.94/x
  3. Step 3: Cross multiply
    867.30x = 1,301.46 × 404.94
  4. Step 4: Simplify right side
    867.30x = 527,013.21
  5. Step 5: Solve for x
    x = 527,013.21/867.30
  6. Step 6: Final answer
    x = 607.65

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