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Finding the Fourth Proportional to 743.25, 1,024.07 and 521.58

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Solution

The fourth proportional to 743.25, 1,024.07 and 521.58 is: 718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.25 : 1,024.07 = 521.58 : x
  2. Step 2: Convert to fraction form
    743.25/1,024.07 = 521.58/x
  3. Step 3: Cross multiply
    743.25x = 1,024.07 × 521.58
  4. Step 4: Simplify right side
    743.25x = 534,131.82
  5. Step 5: Solve for x
    x = 534,131.82/743.25
  6. Step 6: Final answer
    x = 718.64

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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.