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Finding the Fourth Proportional to 935.34, 1,287.87 and 802.38

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Solution

The fourth proportional to 935.34, 1,287.87 and 802.38 is: 1,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.34 : 1,287.87 = 802.38 : x
  2. Step 2: Convert to fraction form
    935.34/1,287.87 = 802.38/x
  3. Step 3: Cross multiply
    935.34x = 1,287.87 × 802.38
  4. Step 4: Simplify right side
    935.34x = 1,033,361.13
  5. Step 5: Solve for x
    x = 1,033,361.13/935.34
  6. Step 6: Final answer
    x = 1,104.80

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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.