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Finding the Fourth Proportional to 903.40, 1,355.16 and 287.12

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Solution

The fourth proportional to 903.40, 1,355.16 and 287.12 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.40 : 1,355.16 = 287.12 : x
  2. Step 2: Convert to fraction form
    903.40/1,355.16 = 287.12/x
  3. Step 3: Cross multiply
    903.40x = 1,355.16 × 287.12
  4. Step 4: Simplify right side
    903.40x = 389,093.54
  5. Step 5: Solve for x
    x = 389,093.54/903.40
  6. Step 6: Final answer
    x = 430.70

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Double scale
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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.