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Finding the Fourth Proportional to 900.49, 1,350.40 and 315.37

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Solution

The fourth proportional to 900.49, 1,350.40 and 315.37 is: 472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.49 : 1,350.40 = 315.37 : x
  2. Step 2: Convert to fraction form
    900.49/1,350.40 = 315.37/x
  3. Step 3: Cross multiply
    900.49x = 1,350.40 × 315.37
  4. Step 4: Simplify right side
    900.49x = 425,875.65
  5. Step 5: Solve for x
    x = 425,875.65/900.49
  6. Step 6: Final answer
    x = 472.94

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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.