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Finding the Fourth Proportional to 903.52, 1,355.40 and 355.66

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Solution

The fourth proportional to 903.52, 1,355.40 and 355.66 is: 533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.52 : 1,355.40 = 355.66 : x
  2. Step 2: Convert to fraction form
    903.52/1,355.40 = 355.66/x
  3. Step 3: Cross multiply
    903.52x = 1,355.40 × 355.66
  4. Step 4: Simplify right side
    903.52x = 482,061.56
  5. Step 5: Solve for x
    x = 482,061.56/903.52
  6. Step 6: Final answer
    x = 533.54

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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.