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Finding the Fourth Proportional to 899.14, 1,348.68 and 386.14

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Solution

The fourth proportional to 899.14, 1,348.68 and 386.14 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.14 : 1,348.68 = 386.14 : x
  2. Step 2: Convert to fraction form
    899.14/1,348.68 = 386.14/x
  3. Step 3: Cross multiply
    899.14x = 1,348.68 × 386.14
  4. Step 4: Simplify right side
    899.14x = 520,779.30
  5. Step 5: Solve for x
    x = 520,779.30/899.14
  6. Step 6: Final answer
    x = 579.20

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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.