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Finding the Fourth Proportional to 931.89, 1,398.14 and 315.65

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Solution

The fourth proportional to 931.89, 1,398.14 and 315.65 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.89 : 1,398.14 = 315.65 : x
  2. Step 2: Convert to fraction form
    931.89/1,398.14 = 315.65/x
  3. Step 3: Cross multiply
    931.89x = 1,398.14 × 315.65
  4. Step 4: Simplify right side
    931.89x = 441,322.89
  5. Step 5: Solve for x
    x = 441,322.89/931.89
  6. Step 6: Final answer
    x = 473.58

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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.