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Finding the Fourth Proportional to 896, 1,237.08 and 802.60

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Solution

The fourth proportional to 896, 1,237.08 and 802.60 is: 1,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    896 : 1,237.08 = 802.60 : x
  2. Step 2: Convert to fraction form
    896/1,237.08 = 802.60/x
  3. Step 3: Cross multiply
    896x = 1,237.08 × 802.60
  4. Step 4: Simplify right side
    896x = 992,880.41
  5. Step 5: Solve for x
    x = 992,880.41/896
  6. Step 6: Final answer
    x = 1,108.13

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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.