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Finding the Fourth Proportional to 873.76, 1,307.04 and 800.08

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Solution

The fourth proportional to 873.76, 1,307.04 and 800.08 is: 1,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.76 : 1,307.04 = 800.08 : x
  2. Step 2: Convert to fraction form
    873.76/1,307.04 = 800.08/x
  3. Step 3: Cross multiply
    873.76x = 1,307.04 × 800.08
  4. Step 4: Simplify right side
    873.76x = 1,045,736.56
  5. Step 5: Solve for x
    x = 1,045,736.56/873.76
  6. Step 6: Final answer
    x = 1,196.82

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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.