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Finding the Fourth Proportional to 867.88, 1,302.60 and 435.28

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Solution

The fourth proportional to 867.88, 1,302.60 and 435.28 is: 653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.88 : 1,302.60 = 435.28 : x
  2. Step 2: Convert to fraction form
    867.88/1,302.60 = 435.28/x
  3. Step 3: Cross multiply
    867.88x = 1,302.60 × 435.28
  4. Step 4: Simplify right side
    867.88x = 566,995.73
  5. Step 5: Solve for x
    x = 566,995.73/867.88
  6. Step 6: Final answer
    x = 653.31

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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.