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Finding the Fourth Proportional to 903.49, 1,353.07 and 491.60

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Solution

The fourth proportional to 903.49, 1,353.07 and 491.60 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.49 : 1,353.07 = 491.60 : x
  2. Step 2: Convert to fraction form
    903.49/1,353.07 = 491.60/x
  3. Step 3: Cross multiply
    903.49x = 1,353.07 × 491.60
  4. Step 4: Simplify right side
    903.49x = 665,173.21
  5. Step 5: Solve for x
    x = 665,173.21/903.49
  6. Step 6: Final answer
    x = 736.23

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1.5x scale

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.