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Finding the Fourth Proportional to 903.22, 1,354.08 and 383.63

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Solution

The fourth proportional to 903.22, 1,354.08 and 383.63 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.22 : 1,354.08 = 383.63 : x
  2. Step 2: Convert to fraction form
    903.22/1,354.08 = 383.63/x
  3. Step 3: Cross multiply
    903.22x = 1,354.08 × 383.63
  4. Step 4: Simplify right side
    903.22x = 519,465.71
  5. Step 5: Solve for x
    x = 519,465.71/903.22
  6. Step 6: Final answer
    x = 575.13

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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.