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Finding the Fourth Proportional to 902.16, 1,243.32 and 640.08

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Solution

The fourth proportional to 902.16, 1,243.32 and 640.08 is: 882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.16 : 1,243.32 = 640.08 : x
  2. Step 2: Convert to fraction form
    902.16/1,243.32 = 640.08/x
  3. Step 3: Cross multiply
    902.16x = 1,243.32 × 640.08
  4. Step 4: Simplify right side
    902.16x = 795,824.27
  5. Step 5: Solve for x
    x = 795,824.27/902.16
  6. Step 6: Final answer
    x = 882.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.