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Finding the Fourth Proportional to 864.41, 1,290.35 and 800.17

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Solution

The fourth proportional to 864.41, 1,290.35 and 800.17 is: 1,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.41 : 1,290.35 = 800.17 : x
  2. Step 2: Convert to fraction form
    864.41/1,290.35 = 800.17/x
  3. Step 3: Cross multiply
    864.41x = 1,290.35 × 800.17
  4. Step 4: Simplify right side
    864.41x = 1,032,495.36
  5. Step 5: Solve for x
    x = 1,032,495.36/864.41
  6. Step 6: Final answer
    x = 1,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.