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Finding the Fourth Proportional to 764.63, 1,053.51 and 543.23

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Solution

The fourth proportional to 764.63, 1,053.51 and 543.23 is: 748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 1,053.51 = 543.23 : x
  2. Step 2: Convert to fraction form
    764.63/1,053.51 = 543.23/x
  3. Step 3: Cross multiply
    764.63x = 1,053.51 × 543.23
  4. Step 4: Simplify right side
    764.63x = 572,298.24
  5. Step 5: Solve for x
    x = 572,298.24/764.63
  6. Step 6: Final answer
    x = 748.46

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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.