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Finding the Fourth Proportional to 903.15, 1,354.61 and 318.10

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Solution

The fourth proportional to 903.15, 1,354.61 and 318.10 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.15 : 1,354.61 = 318.10 : x
  2. Step 2: Convert to fraction form
    903.15/1,354.61 = 318.10/x
  3. Step 3: Cross multiply
    903.15x = 1,354.61 × 318.10
  4. Step 4: Simplify right side
    903.15x = 430,901.44
  5. Step 5: Solve for x
    x = 430,901.44/903.15
  6. Step 6: Final answer
    x = 477.11

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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.