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Finding the Fourth Proportional to 803.36, 1,109.76 and 647.84

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Solution

The fourth proportional to 803.36, 1,109.76 and 647.84 is: 894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.36 : 1,109.76 = 647.84 : x
  2. Step 2: Convert to fraction form
    803.36/1,109.76 = 647.84/x
  3. Step 3: Cross multiply
    803.36x = 1,109.76 × 647.84
  4. Step 4: Simplify right side
    803.36x = 718,946.92
  5. Step 5: Solve for x
    x = 718,946.92/803.36
  6. Step 6: Final answer
    x = 894.92

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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.