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Finding the Fourth Proportional to 900.59, 1,351.48 and 315.59

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Solution

The fourth proportional to 900.59, 1,351.48 and 315.59 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.59 : 1,351.48 = 315.59 : x
  2. Step 2: Convert to fraction form
    900.59/1,351.48 = 315.59/x
  3. Step 3: Cross multiply
    900.59x = 1,351.48 × 315.59
  4. Step 4: Simplify right side
    900.59x = 426,506.62
  5. Step 5: Solve for x
    x = 426,506.62/900.59
  6. Step 6: Final answer
    x = 473.59

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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.