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Finding the Fourth Proportional to 859.61, 1,184.09 and 800.01

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Solution

The fourth proportional to 859.61, 1,184.09 and 800.01 is: 1,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.61 : 1,184.09 = 800.01 : x
  2. Step 2: Convert to fraction form
    859.61/1,184.09 = 800.01/x
  3. Step 3: Cross multiply
    859.61x = 1,184.09 × 800.01
  4. Step 4: Simplify right side
    859.61x = 947,279.84
  5. Step 5: Solve for x
    x = 947,279.84/859.61
  6. Step 6: Final answer
    x = 1,101.98

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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.