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Finding the Fourth Proportional to 903.65, 1,355.60 and 287.24

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Solution

The fourth proportional to 903.65, 1,355.60 and 287.24 is: 430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.65 : 1,355.60 = 287.24 : x
  2. Step 2: Convert to fraction form
    903.65/1,355.60 = 287.24/x
  3. Step 3: Cross multiply
    903.65x = 1,355.60 × 287.24
  4. Step 4: Simplify right side
    903.65x = 389,376.48
  5. Step 5: Solve for x
    x = 389,376.48/903.65
  6. Step 6: Final answer
    x = 430.90

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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.