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Finding the Fourth Proportional to 804.76, 1,110.50 and 543.13

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Solution

The fourth proportional to 804.76, 1,110.50 and 543.13 is: 749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.76 : 1,110.50 = 543.13 : x
  2. Step 2: Convert to fraction form
    804.76/1,110.50 = 543.13/x
  3. Step 3: Cross multiply
    804.76x = 1,110.50 × 543.13
  4. Step 4: Simplify right side
    804.76x = 603,145.87
  5. Step 5: Solve for x
    x = 603,145.87/804.76
  6. Step 6: Final answer
    x = 749.47

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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.