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Finding the Fourth Proportional to 906.14, 1,359.18 and 313.12

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Solution

The fourth proportional to 906.14, 1,359.18 and 313.12 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.14 : 1,359.18 = 313.12 : x
  2. Step 2: Convert to fraction form
    906.14/1,359.18 = 313.12/x
  3. Step 3: Cross multiply
    906.14x = 1,359.18 × 313.12
  4. Step 4: Simplify right side
    906.14x = 425,580.50
  5. Step 5: Solve for x
    x = 425,580.50/906.14
  6. Step 6: Final answer
    x = 469.66

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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.