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Finding the Fourth Proportional to 903.64, 1,355.20 and 355.72

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Solution

The fourth proportional to 903.64, 1,355.20 and 355.72 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.64 : 1,355.20 = 355.72 : x
  2. Step 2: Convert to fraction form
    903.64/1,355.20 = 355.72/x
  3. Step 3: Cross multiply
    903.64x = 1,355.20 × 355.72
  4. Step 4: Simplify right side
    903.64x = 482,071.74
  5. Step 5: Solve for x
    x = 482,071.74/903.64
  6. Step 6: Final answer
    x = 533.48

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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.