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Finding the Fourth Proportional to 903.63, 1,355.10 and 533.53

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Solution

The fourth proportional to 903.63, 1,355.10 and 533.53 is: 800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.63 : 1,355.10 = 533.53 : x
  2. Step 2: Convert to fraction form
    903.63/1,355.10 = 533.53/x
  3. Step 3: Cross multiply
    903.63x = 1,355.10 × 533.53
  4. Step 4: Simplify right side
    903.63x = 722,986.50
  5. Step 5: Solve for x
    x = 722,986.50/903.63
  6. Step 6: Final answer
    x = 800.09

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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.